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

21
Video
Lessons 
31
Embedded Video
Questions 
123
Practice
Problems
Table of Contents
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 306090 triangle is
 Know the properties of a 306090 triangle
 Know the properties of a 454590 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 306090 and 459045 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