Question

A value of ${\tan }^{-1}\left(\sin \left({\cos }^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right)$ is

Answer 1

According to question,

$ta{n}^{-1}\left(sin\right(si{n}^{-1}\left(\frac{1}{\sqrt{3}}\right)$

$=ta{n}^{-1}\left(\frac{1}{\sqrt{3}}\right)$

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