Find the value of $\sin ^{-1}\left(\sin \frac{4 \pi}{5}\right)$.
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Find the value of $\sin ^{-1}\left(\sin \frac{4 \pi}{5}\right)$.

Find the value of $\sin ^{-1}\left(\sin \frac{4 \pi}{5}\right)$.
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Find the value of $\sin ^{-1}\left(\sin \frac{4 \pi}{5}\right)$.
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SOLUTION : We have } $\sin ^{-1}\left(\sin \frac{4 \pi}{5}\right)=\sin ^{-1}\left[\sin \left(\pi-\frac{\pi}{5}\right)\right]=\sin ^{-1}\left(\sin \frac{\pi}{5}\right)=\frac{\pi}{5} \\ $

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