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Prove that,tan theta + 2 tan 2theta + 4 ...

Prove that,`tan theta + 2 tan 2theta + 4 tan 4 theta + 8 cot 8 theta = cot theta`

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tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

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