T.2 - Find Values of Other Trigonometric Functions

T.2    The student, given the value of one trigonometric function, will find the values of the other trigonometric functions, using the definitions and properties of the trigonometric functions.

UNDERSTANDING THE STANDARD

• If one trigonometric function value is known, then a triangle can be formed to use in finding the other five trigonometric function values.
• Knowledge of the unit circle is a useful tool for finding all six trigonometric values for special angles.

ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

T.21  Given one trigonometric function value, find the other five trigonometric function values.

T.22  Develop the unit circle, using both degrees and radians.

T.23  Solve problems, using the circular function definitions and the properties of the unit circle.

T.24  Recognize the connections between the coordinates of points on a unit circle and

coordinate geometry;

cosine and sine values; and

lengths of sides of special right triangles (30°-60°-90° and 45°-45°-90°).

KEY VOCABULARY

Updated: Jun 29, 2017