Question

cosA- tanA = 2cot2A
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Answer 1

Answer:

cotA-tanA = 2.cot 2A

L.H.S.

=cosA/sinA-sina/cosA

=(cos^2A-sin^2A)/sinA.cosA

=(cos2A)/(1/2.sin2A)

=2.(cos2A/sin2A)

=2.cot2A , Proved.