Answer
$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{-\pi}{3}$
This equation has no solutions.
Work Step by Step
$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{\pi}{3}$
$arccos~x = \frac{\pi}{3}-2~arcsin~\frac{\sqrt{3}}{2}$
$arccos~x = \frac{\pi}{3}-2~(\frac{\pi}{3})$
$arccos~x = -\frac{\pi}{3}$
Since the range of the arccos function is $[0,\pi]$, there is no value $x$ such that $arccos~x = -\frac{\pi}{3}$
Therefore, this equation has no solutions.
