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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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