Prove that cotA-tanA/cotA+tanA=cos2A

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To prove cotA-tanA/cotA+tanA=cos2A
1. we have to take L.H.S first
2. convert cot terms to tan terms
3. Than take L.C.M
4. After that we get 1-tan^2A/1+tan^2, Which is the formula of cos2A
5. Hence we proved cotA-tanA/cotA+tanA=cos2A

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