galactus
Nov 22, 2010, 06:33 PM
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}