Question

$$\frac{\cos\ 3A-\cos\ 2A+\cos\ A}{\sin\ 3A-\sin\ 2A+\sin\ A}=\cot\ 2A$$

Solve for A

$A\notin 2\pi n_{1}+\frac{\pi }{3},2\pi n_{1}+\frac{5\pi }{3},\frac{\pi n_{1}}{2}$
$\forall n_{1}\in \mathrm{Z}$