Answer
$\displaystyle \frac{\pi}{2}$
Work Step by Step
$y=\cos^{-1}x =\arccos x$
Domain:$[-1, 1] $
Range: $[0, \pi]$
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$y$ is the number from $[0, \pi]$ such that $\cos y=0$
$\displaystyle \cos\frac{\pi}{2}=0,\quad$and $\displaystyle \frac{\pi}{2}\in [0, \pi]$, so
$\displaystyle \arccos(0)=\frac{\pi}{2}$