if

Question:

If $0 ___________________.

Solution:

$\sin ^{-1}(\cos x)+\cos ^{-1}(\sin x)$

$=\sin ^{-1}\left[\sin \left(\frac{\pi}{2}-x\right)\right]+\cos ^{-1}\left[\cos \left(\frac{\pi}{2}-x\right)\right]$

$=\frac{\pi}{2}-x+\frac{\pi}{2}-x$

$=\pi-2 x$

If $0

 

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