1. Graphs of Inverse Functions

2. Inverse Sine Function The horizontal line test shows that the sine function is not one-to-one and has no inverse function.

3. The Restricted Domain

4. Graph the Inverse Sine xy -.707 0.707 1 xy 0.707 1

5. Graph of Inverse Sine xy 0.707 1

6. Inverse Cosine Function As with the sine, the domain must again be restricted. For cosine we restrict to

7. Graph the Inverse Cosine xy 01.707 0 -.707 xy 10.707 0 -.707

8. Graph of Inverse Cosine xy 10.707 0 -.707

9. Inverse Tangent Function

10. Graph the Inverse Tangent xy und 0 1 und xy 0 1

11. Graph of Inverse Tangent xy und 0 1