1. 7.6 Inverse Functions
“Go confidently in the direction of your dreams. Live the life you have imagined.” (Henry David Thoreau)
PCA - Give the exact value (NO CALCULATOR!) of each expression: **Think: Unit Circle/Triangles**
1. cot(-60°) 2. tan(-π)

2. 7.6 Inverse Trig. Functions
Given a value of the function, find the angle in degree or radian measure.
Ex. If sin 30º = ½, then sin -1 (½) = 30º
The inverse of f(x) = y is f -1 (y) = x
***The X’s and Y’s were switched.***

3. Example 1
Use a calculator to find the value of each expression to the nearest tenth of degree.
**Mode – Degree**

4. No need to copy
Each inverse Function is formed by restricting the domain and range of sine, cosine, and tangent.
(**needs to pass the horizontal line test to have an inverse**)
y = sin (x) y = cos (x)
Restricted to: Restricted to:

5. Answers live here 4. Domain and Range of each inverse function.
Sin -1(x)
Domain:
Range:
Cos -1(x)
Tan -1(x)
Answers live here

6. Example 2
Find the value of each expression in terms of radians (π).

7. Example 2 continued….
(c) (d)

8. Example 3
Find the exact value of each expression.

9. Homework
7.6 Assignment (skip: #6a, and 19) – Non-calculator except for 1 and 2.
Test on Monday, review your study guide and unit circle.
Friday – Mini Calculator Quiz