Chapter 4.6, Problem 102PE

Exercises 102-104 will help you prepare for the material covered in the next section.

a. Graph $y=\sin x\text{for}-\frac{\pi }{2}\le x\le \frac{\pi }{2}$.

b. Based on your graph in part (a), does $y=\sin x$ have an

inverse function if the domain is restricted to $\left[-\frac{\pi }{2},\frac{\pi }{2}\right]?$

Explain your answer.

c. Determine the angle in the interval $\left[-\frac{\pi }{2},\frac{\pi }{2}\right]$ whose sine

is $-\frac{1}{2}$

Identify this information as a point on your graph in part (a).