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math (trig)

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Prove:
sin^2(x/2) = csc^2x - cot^2x / 2csc^2(x) + 2csc(x)cot(x)

On the right, factor the numberator as a difference of two perfect squares. In the denominator, factor out 2cscx.

You ought to prodeed rather quickly to the proof.

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