Question

Calculate
$arccos\left(cos(-\frac{\sqrt{3}}{2})\right)$

Answer 1

$arccos\left(cos(-\frac{\sqrt{3}}{2})\right)$

$=co{s}^{-1}\left[cos(-\frac{\sqrt{3}}{2})\right]$

$=co{s}^{-1}cos\left(\frac{\sqrt{3}}{2}\right)$ as $cos(-\pi )=cos\pi$

$=\frac{\sqrt{3}}{2}$