Question

Solve ${\sin }^{-1}\left(\cos x\right)$

Answer 1

Let,

$y={\sin }^{-1}\left(\cos x\right)$

$\Rightarrow y={\sin }^{-1}\sin (\frac{\pi }{2}-x)$

$\Rightarrow y=\frac{\pi }{2}-x$

Hence, this is the answer.