Question

Find the values if ${\sin }^{-1}\left(\sin \frac{2\pi }{3}\right)$

Answer 1

The value of ${\sin }^{-1}\left(\sin \frac{2\pi }{3}\right)$

$={\sin }^{-1}\left(\sin (\pi -\frac{2\pi }{3})\right)$

$={\sin }^{-1}\left(\sin \frac{\pi }{3}\right)$

$=\frac{\pi }{3}$