Question

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

Answer 1

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

$={\tan }^{-1}\left[\tan (\pi +\frac{\pi }{6})\right]$

$={\tan }^{-1}\left(\tan \frac{\pi }{6}\right)$

$=\frac{\pi }{6}$