Question

Verify 2cotx=csc^2xsin2x

Answer 1

`2\cot x=\csc^2x\sin2x\\\\R=\left((1)/(\sin^2x)\right)(2\sin x\cos x)=(2\sin x\cos x)/(\sin^2x)=(2\cos x)/(\sin x)=2\left((\cos x)/(\sin x)\right)=2\cot x\\\\L=2\cot x\\\\\boxed{L=R}\\\\Used:\\\\\csc x=(1)/(\sin x)\\\\\cot x=(\csc x)/(\sin x)`