prove: 2 csc 2x = csc^2 x + tan x
This isn't true. If \(x=\dfrac\pi4\), you get\(2\csc\left(2\times\dfrac\pi4\right)=2\csc\dfrac\pi2=2\)while\(\csc^2\dfrac\pi4+\tan\dfrac\pi4=\left(\sqrt2\right)^2+1=3\)