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sin2 + cos2 = 1

So, (1 - 2*cos2)/(sin*cos) = (sin2 + cos2 - 2*cos2)/(sin*cos)

= (sin2 - cos2)/(sin*cos)

= sin2/(sin*cos) - cos2/(sin*cos)

= sin/cos - cos-sin

= tan - cot

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Q: How can you prove that 1-2 cosine squared over sine times cosine is equal to tangent minus cotangent?
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