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how to prove cotsquared 2A=(1 + sin 2A)/1-sin2A

how to prove cot squared 2A=(1 + sin 2A)/1-sin2A
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Jeff, I think you have an error in your transcription
Take a look at this link
I've graphed the left hand side (cot^2(2A)) in yellow and the right hand side in blue.
If you have an identity, their graphs have to be identical.