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Verify 2cotx=csc^2xsin2x

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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)

User Petro Darii
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