Answer
Domain : $[-1, 1]$ and Range: $[-1,1]$
Work Step by Step
Inside we have the inverse sine function, which is restricted to the domain of $[-1,1]$. Outside, we have the regular sine function, which "reverses" the inverse sine function.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-1, 1]$ and Range: $[-1,1]$
