Answer
Domain : $[-1,1]$ and Range: $[0, \pi]$
Work Step by Step
A vertical shift of $\dfrac{\pi}{2}$ results in shifting the range of the inverse sine curve upwards by an angle of $\dfrac{\pi}{2}$. The domain remains the same.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-1,1]$ and Range: $[0, \pi]$