Answer
$[-1,1]$, $[-\frac{\pi}{2}, \frac{\pi}{2}]$.
Work Step by Step
The domain and range of $y=sin^{-1}(x)$ will be the range and domain (switch) of $y=sin(x)$. Thus the answers are: domain $[-1,1]$ and range $[-\frac{\pi}{2}, \frac{\pi}{2}]$.
