Evaluate the following: ^ -1 ( 6 ) - Vidyadip

Question

Evaluate the following:
$\sin^{-1}\Big(\sin\frac{\pi}{6}\Big)$

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Answer

We know
$\sin\big(\sin^{-1}\theta\big)=\theta$ if $-\frac{\pi}{2}\leq\theta\leq\frac{\pi}{2}$
We have
$\sin^{-1}\Big(\sin\frac{\pi}{6}\Big)=\frac{\pi}{6}$

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