1. Section 1.7 Inverse Trigonometric Functions
Essential Question:
How do we define the inverse of the sine, cosine, and tangent functions?

2. The notation is consistent with the inverse notation
The notation is consistent with the inverse notation The notation comes from the association of a central angle with its intercepted arc length on a unit circle. So means the angle (or arc) whose sin is x.

4. Example 1. Find the exact value of the expression if it is defined:

5. Inverse Cosine Function
The inverse cosine function is the function cos–1 with domain [–1, 1] and range [0, π], defined by:
cos–1 x = y  cos y = x

7. Ex 2. Find the exact value of the expression if it is defined

9. Ex 3. Find the exact value of the expression if it is defined:

10. Ex 4. Find the exact value of the expression, if it is defined. a. ) b
Ex 4. Find the exact value of the expression, if it is defined. a.) b.) c.)

11. Ex 5. Find the exact value of the expression, if it is defined.
b.)
c.)

12. HW#8 Inverse Worksheet