tanA-cotA=1-2cos2A/sinAcosA
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LHS
tanA-cotA
sinA/cosA - cosA/sinA
sin²A-cos²A/sinAcosA
[sin²A=1-cos²A]
1-cos²A-cos²A/sinAcosA
1-2cos²A/sinAcosA
= RHS Hence proved
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