Answer
a) Please see below.
b) Yes.
c)$$x=-\frac{\pi }{6}$$The point is indicated on the graph by a blue point.
Work Step by Step
b) Since the function $y=\sin x$ is one-to-one on the restricted domain $[- \frac{\pi }{2}, \frac{\pi }{2}]$, the function has an inverse.
