I come up with the equation:
$\cot(x)\csc(x)=2\sec^2(2x)$
This looks extremely simple but I am not able to come up with a simple solution for $x$.
I work out that $4\cos^5(x)-4\cos^3(x)+2\cos^2(x)+\cos(x)-2=0$
Am I on the right track or is there an easier approach to solving the equation?