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Everything you need to get ready for calculus

(1) Getting started

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(2) Introduction to angles

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(3) Angles and their measure

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(4) The unit circle

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(5) Six circular functions

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(6) Trig identities

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(7) Graphing the trig functions

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(8) The law of sines

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(9) The law of cosines

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(10) Polar coordinates

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(11) Graphing polar curves

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

(12) Parametric curves

  • Welcome to Trigonometry!
  • Complementary and supplementary angles
  • Sketching angles in standard position
  • Quadrant of the angle
  • Converting between degrees and dms
  • Finding coterminal angles
  • Finding coterminal angles, example 2
  • Converting between degrees and radians
  • Converting between degrees and radians, example 2
  • Oriented arc for a real number
  • Area of a circular sector
  • Finding sine and cosine of an angle theta
  • Finding sine given cosine, or vice versa
  • All possible values for the angle theta
  • All possible values for the angle theta, example 2
  • All possible values for the real number t
  • Completing a triangle
  • Finding the side lengths of the triangle
  • Given a point on the terminal side of the angle
  • Find the value or say where the function is undefined
  • Find all six trig functions given the quadrant of the angle
  • Find all six trig functions at the coordinate point
  • Find all six trig functions using reciprocal identities
  • Angle of elevation
  • Proving the trig equation
  • Proving the trig equation with pythagorean identities
  • Using even-odd identities
  • Using sum-difference identities
  • Using sum-difference identities, example 2
  • Using sum-difference identities, example 3
  • Using half-angle identities
  • Using double-angle identities to prove the equation
  • Using product-to-sum identities
  • Using sum-to-product identities
  • Using trig identities to prove the equation
  • List the solutions of the equation inside the interval
  • List the solutions of the equation inside the interval, example 2
  • Finding the value of an inverse trig function
  • Period and amplitude
  • Sketching sine and cosine
  • Comparing sine and cosine graphs
  • Sequence of transformations
  • Law of sines
  • Law of sines for area of a triangle
  • Law of cosines
  • Heron's formula for area of a triangle
  • Converting polar coordinates to rectangular
  • Converting rectangular coordinates to polar
  • Express the polar point multiple ways
  • Converting equations from polar to rectangular
  • Converting equations from rectangular to polar
  • Graph the polar curve, circle
  • Graph the polar curve, rose
  • Graph the polar curve, cardioid
  • Graph the polar curve, limacon
  • Graph the polar curve, lemniscate
  • Intersection points of the polar curves
  • Graph the polar region in the xy-plane
  • Sketching a parametric curve and its orientation
  • Write the equation as a parametric curve

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