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show that sin 2theta/1-cos 2 theta = cot theta

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The equation you gave is NOT an identity,

Did you mean

sin (2Ø)/(1 - cos^2 Ø) = 2cotØ ?

LS = 2sinØcosØ/(sin^2 Ø)
= 2cosØ/sinØ
= 2cotØ
= RS

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