Trigonometry (11th Edition) Clone

$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{-\pi}{3}$ This equation has no solutions.
$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{\pi}{3}$ $arccos~x = \frac{\pi}{3}-2~arcsin~\frac{\sqrt{3}}{2}$ $arccos~x = \frac{\pi}{3}-2~(\frac{\pi}{3})$ $arccos~x = -\frac{\pi}{3}$ 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.