Answer
Domain : $[-1,1]$ and Range: $\dfrac{\pi}{2}$
Work Step by Step
The domain of both inverse functions is restricted to $[-1,1]$. The range is the sum of the two angles which give the same value for cosine and sine. This sum is always equal to $\dfrac{\pi}{2}$.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-1,1]$ and Range: $\dfrac{\pi}{2}$