Evaluating inverse trig functions

The  exercise appears under the Trigonometry Math Mission. This exercise introduces the inverse trig values of some standard benchmark angles.

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


 * 1) Find the principal value of the inverse trig expression: This problem has an inverse trigonometric expression. The student is asked to find the principal value of the inverse trig expression, in the correct mode, and write it in the space provided.Eitf1.png

Strategies
Knowledge of the unit circle or some other way of finding the angle given a trig value is encouraged to ensure success on this exercise.
 * 1) The inverse sine and tangent have principal values in the first and fourth quadrants, but the fourth quadrant is understood as a negative angle.
 * 2) The inverse cosine has principal values in the first and second quadrants.
 * 3) The problems can ask for angles in radian or degree mode, so it is important to read closely.
 * 4) If the unit circle is memorized, then this exercise can be done efficiently.

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.
 * 3) Inverse trigonometry in particular is valuable for undoing trigonometric functions to find angles.