The left side is equal to 1.

1=\frac{1}{2}csc(2x)

2=csc(2x)

2=\frac{1}{sin(2x)}

\frac{1}{2}=sin(2x)

x=\frac{sin^{-1}(\frac{1}{2})}{2}

x=\frac{\pi}{12}

But, in general:

x=\frac{(12C+5){\pi}}{12}

and

x=\frac{(12C+1){\pi}}{12}