Answer
Domain: All real Numbers and Range: $[0,\pi]$
Work Step by Step
Inside, we have the regular sine function, which has the domain $(-\infty,\infty)$. Outside, we have the inverse cosine function, which returns values on the interval $[0,\pi]$.
Therefore, we have the Domain and Range of the function as follows:
Domain: All real Numbers and Range: $[0,\pi]$