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Trigonometry

Angle measure, right triangles, unit circle trigonometry, trigonometric formulas and identities.

  • 21 Video
    Lessons
  • 31 Embedded Video
    Questions
  • 123 Practice
    Problems
Angles and Measures
  • Know what a standard angle is
  • Know what a radian is
  • Know what a complementary and supplementary angles are
  • Find complementary and supplementary angles
Radians, Degrees, Arc Length
  • Know what a degree measure is
  • Know what arc length is
  • Know what the area of a sector of a circle is
  • Convert degrees to radians and radians to degrees
  • Find the length of a circular arc
  • Find the area of a sector of a circle
Pythagorean Theorem
  • Know the Pythagorean Theorem and its converse
  • Know some Pythagorean triples
  • Use the Pythagorean Theorem to find the sides of a right triangle
Special Right Triangle
  • Know what a 30-60-90 triangle is
  • Know the properties of a 30-60-90 triangle
  • Know the properties of a 45-45-90 triangle
  • Find the values of trigonometric functions of special triangles
  • Find the measure angles 30°, 45°, and 60°
  • Be able to recognize the special right triangles
Right Triangle Trigonometry
  • Know what a right triangle is
  • Know the right triangle definitions of trigonometric functions
  • Find the hypotenuse of a right triangle
  • Find the values of trigonometric functions for a given triangle
Fundamental Trigonometric Identities
  • Know reciprocal, quotient, and Pythagorean identities
  • Apply the reciprocal identities to find measure angles
  • Use Pythagorean identities to solve basic problems
The Unit Circle
  • Know what a unit circle is
  • Use the basic 30-60-90 and 45-90-45 triangles to find the values of trig functions
  • Use Pythagorean identities to solve basic problems
Graphing Sine
  • Know how a sine graph shifts left or right
  • Know how the graph of the sine function stretches or shrinks
  • Know how the amplitude affects the graph of the sine function
  • Recognize that sine is an odd function
Graphing Cosine
  • Know how a cosine graph shifts left or right
  • Know how the graph of the cosine function stretches or shrinks
  • Know how the amplitude affects the graph of the cosine function
  • Recognize that cosine is an even function
Trigonometric Formulas
  • Know the addition and subtraction formulas
  • Know the double and half angle formulas
  • Use the formulas to compute trig functions for various angles
  • Perform simple trig proofs using the formulas
Inverse Trigonometric Functions
  • Know the domains of each of the inverse trig functions
  • Compute values of inverse trig functions
  • Compute values of composition of trig functions and inverse trig functions
Laws of Sines and Cosines
  • Know the Law of Sines
  • Know the Law of Cosines
  • Identify which law to use in various scenarios
  • Use the laws to find the missing side and angles
Trigonometric Application: Sprinkler Area
  • Describing a situation using circles
  • Area of a sector of a circle
  • Radians and degrees
Trigonometric Application: Mudslide
  • Arc length of a circle
  • Complement of an arc
  • Radians and degrees
Trigonometric Application: Docked Boat
  • Pythagorean Theorem
Trigonometric Application: Falling Kite
  • Right triangle trigonometry
  • Using trig function definitions to find lengths and distances
  • Angle of elevation
Trigonometric Application: Roller Skating Ramp
  • Angle of elevation
  • Inverse trig functions
  • Finding an angle from side lengths of a right triangle
Trigonometric Application: Tree Height
  • Angle of elevation
  • Right triangle trigonometry
Trigonometric Application: Airport Distance
  • Angle of depression
  • Right triangle trigonometry
Trigonometric Application: Two Towns
  • Applying law of cosines
Trigonometric Application: Building Height
  • Applying law of sines

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