Answer
Domain: $[-1,1]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$
Work Step by Step
The domain of both inverse functions is restricted to $[-1,1]$. The range is the difference of the two angles which give the same value for cosine and sine. This difference covers the values of $[-\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$.
Therefore, we have the Domain and Range of the function as follows:
Domain: $[-1,1]$ and Range: $[-\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$
