Answer
domain: set of real numbers
range: $[-1,1]$
Work Step by Step
For any value of $\theta$, $-1\leq \sin\theta\leq1$, hence the range is $[-1,1].$
Also, $\sin\theta$ is defined for all $\theta$ on the real numbers.
Hence, the domain is the set of real numbers while the range is $[-1,1].$
