The value of $ an ^{-1}\left( an \frac{7 \pi}{6} ight)$ is

Question

The value of $	an ^{-1}\left(	an \frac{7 \pi}{6}ight)$ is

Aicharya · Accepted Answer

$\begin{aligned} & 	an ^{-1}\left(	an \frac{7 \pi}{6}ight) \ & =	an ^{-1}\left(	an \left(\pi+\frac{\pi}{6}ight)ight) \ & =	an ^{-1}\left(	an \frac{\pi}{6}ight) \ & =\frac{\pi}{6}\end{aligned}$

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

Solution