prove that 1 / tan theta + cot theta - 1 / 1 + sin theta + 1 / 1 - sin theta = 2 sec square theta
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LHS=1−sinθ+1+sinθ/(1+sinθ)(1−sinθ)
=2/1−sin^2x
=2/cos^2x
=2 sec^2x
=RHS
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