Trigonometric functions of special angles

The  exercise appears under the Trigonometry Math Mission. This exercise uses the special right triangles to develop proficiency with evaluating trigonometric expressions.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the values of the sides and the trig ratio: This problem has a right triangle with some information labeled and given. The student is asked to find several values and then use the values to find the result of the trigonometric expression.Tfosa1.png

Strategies
Knowledge of the unit circle and the special right triangles are encouraged to ensure success on this exercise.
 * 1) The 45-45-90 triangle has side lengths of x, x, and xsqrt(2).
 * 2) The 30-60-90 triangle has side lengths of x, xsqrt(3) and 2x.
 * 3) The values of the trig ratios can also be found by using the unit circle.

Real-life Applications

 * 1) Trigonometry has applications in physics for many different types of motion and acceleration.
 * 2) Trigonometry is used in navigation especially for planes and boats.