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From sketching angles to evaluating and graphing trigonometric functions you will learn step by step

(1) Basics Definitions of Angles and their Measures

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(2) Angles and Their Measures – Sketching and Determining their measure

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(3) Basics definitions for Arc Length

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(4) Arc Length

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(5) Basics definitions for Right Triangle Trigonometry

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(6) Right Triangle Trigonometry

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(7) Basics definitions for Unit Circle Trigonometry

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(8) Unit Circle Trigonometry

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(9) Essential Definitions and Processes for graphing Sine/Cosine

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(10) Graphing The Sine and Cosine Function

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(11) Essential Definitions and Processes for graphing Tangent and Cotangent Functions

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(12) Graphing Tangent and Cotangent

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(13) Essential Definitions and Processes for graphing Secant and Cosecant Functions

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(14) Graphing Secant and Cosecant

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(15) Basics for Inverse Trigonometric Functions

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(16) Inverse Functions of Trigonometric Functions and compostion

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

(17) Conclusion

  • Introduction
  • What is an angle
  • What are the initial and terminal sides of an angle?
  • What is an angle in standard position?
  • What are positive and negative angles?
  • What are complementary supplementary angles?
  • What is the definition of one radian?
  • What is the difference of an radian angle in terms of pie
  • Examples for sketching and angle and determining the quadrant
  • Examples for sketching an angle and determining the axis it lies on
  • Examples for determining the supplement and complement of an angle
  • Examples for finding reference angles
  • Examples for finding coterminal angles
  • Examples for converting an angle in radians to degrees
  • Examples for converting and angle in degrees to radians
  • What is a central angle?
  • Examples for finding the arc length when given the angle and radius
  • Examples for finding the angle when given the arc length and radius
  • What is the Pythagorean Theorem?
  • What are the six trigonometric functions?
  • How to use trigonometric functions to find the missing side of a triangle
  • Examples for determining the missing side of a triangle using trig functions
  • Examples for evaluating trig functions given a triangle
  • Examples for evaluating trig functions given an trigonometric equation
  • What is the unit circle?
  • How do you find points on the unit circle?
  • What are the angles of the unit circle in degrees?
  • What are the angles of the unit circle in radians?
  • What are the points on the unit circle in quarters?
  • What are the points on the unit circle in 30 degrees?
  • How to memorize the unit circle?
  • Examples for evaluating trig functions for an angle on the unit circle ex 1
  • Examples for evaluating trig functions for an angle on the unit circle ex 2
  • Examples for evaluating trig functions for an angle on the unit circle ex 3
  • Examples for evaluating trig functions for an angle on the unit circle ex 4
  • Examples for evaluating trig functions for a point on the unit circle
  • What are the critical points of the sine and cosine graph?
  • What is the amplitude of the sine/cosine graph?
  • What is the period of our sine/cosine graphs?
  • What is the phase shift for sine/cosine graphs?
  • What is the domain of the sine/cosine graph
  • What is the range of the sine/cosine graph?
  • Examples for graphing sine with a change in amplitude
  • Examples for graphing cosine with a change in amplitude
  • Examples for graphing sine with a change in period
  • Examples for graphing cosine with a change in period
  • Examples for graphing cosine with a vertical translation
  • Examples for graphing sine with a vertical translation
  • Examples for graphing sine with a phase shift
  • Examples for graphing cosine with a phase shift
  • Quiz – Graphing Sine/Cosine
  • Overview for how to graph the tangent graph
  • Overview for how to graph the cotangent graph
  • Graphing Tangent/Cotangent with a phase shift
  • Graphing Tangent/Cotangent with a period change
  • Graphing Tangent/Cotangent with a vertical shift
  • Quiz – Graphing Tangent/Cotangent
  • Overview for how to graph the secant function
  • Overview for how to graph the cosecant graph
  • Graphing Cosecant/Secant with a phase shift
  • Graphing Cosecant/Secant with a change in period
  • Graphing Cosecant/Secant with a vertical shift
  • Quiz – Graphing Secant/Cosecant
  • What does the inverse of a trigonometric function mean?
  • How to use trigonometric functions to find the missing angle of a triangle
  • What is the domain and range of inverse trigonometric functions?
  • Examples for evaluating the inverse of a function without a calculator
  • Examples for evaluating the composition of trig functions using the unit circle
  • Examples for evaluating the composition of trig functions using a triangle
  • Examples of evaluating the composition of trig functions using a triangle ex 2
  • Summary for graph the sine and cosine graph
  • Summary for graphing the tangent and cotangent graph
  • Summary fro graphing the cosecant and secant graph
  • Test – Graphing Trigonometric Functions

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