What is the range of $f(x) = \sin^{-1} x + \frac{\pi}{2}$?

Explanation

1. 01

   $\sin^{-1} x$ runs over $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$.

2. 02

   Adding $\frac{\pi}{2}$ shifts it to $[0, \pi]$.