Answer
See graph and explanations below.
Work Step by Step
We graph both $f$ and $g$ as shown in the figure.
The domain of $f$ is $[-1,1]$ which gives a range of $[-1,1]$,
while the domain of $g$ is $[-\frac{\pi}{2}, \frac{\pi}{2}]$ which gives a range of $[-\frac{\pi}{2}, \frac{\pi}{2}]$,