The principal solution of ^ -1 ( (7 6 ) ) is - Vidyadip

Question

The principal solution of $\tan ^{-1}\left(\tan \left(\frac{7 \pi}{6}\right)\right)$ is

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Answer

$\text { (b) : In }\left(\frac{-\pi}{2}, \frac{\pi}{2}\right),$
$\tan ^{-1}\left(\tan \left(\frac{7 \pi}{6}\right)\right)=\tan ^{-1}\left(\tan \left(\pi+\frac{\pi}{6}\right)\right)$
$=\tan ^{-1}\left(\tan \left(\frac{\pi}{6}\right)\right)=\frac{\pi}{6}$

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