Answer
See graph and explanations.
Work Step by Step
1. Graph $f(x)=sin(x)$ (blue), the graph its inverse $y=sin^{-1}(x)$ (red) using the symmetry around line $y=x$ (green).
2. We can identify three points on the inverse as $(-1,-\frac{\pi}{2}),(0,0),(1,\frac{\pi}{2})$
3. We can identify the domain of $y=sin^{-1}(x)$ as $[-1,1]$ and range as $[-\frac{\pi}{2},\frac{\pi}{2}]$