Understanding inverse trig functions

The  exercise appears under the Trigonometry Math Mission. This exercise plays with the inverse functions for trigonometry.

Types of Problems
There are three types of problems in this exercise:


 * 1) Find the correct ranges for the solution: This problem has an inverse trig problem/equation. The student is expected to find the solutions that contain the correct range of solutions.Uitf1.png
 * 2) Find the good restrictions to make invertible: This problem has a graph of a trigonometric function. The student is asked to find the domains that could be used to make the function invertible.Uitf2.png
 * 3) Write the inverse and find an acceptable domain: This problem provides a specific trigonometric function. The student is asked to find the inverse of the function and find a restriction on the domain that will make the inverse valid.Uitf3.png

Strategies
Knowledge of inverse trigonometric functions, their applications, and general inverse function confidence are encouraged to ensure success on this exercise.
 * 1) Being able to work with inverse function in general should increase proficiency on this exercise.
 * 2) For a function to be invertible it needs to pass the horizontal line test.
 * 3) Plugging in numbers could help to increase accuracy on this exercise.

Real-life Applications

 * 1) The inverse trig functions are useful to be able to solve for the angle in various real-life problems.