Prove that cotA-tanA=2cot2A

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How to prove cotA-tanA=2cot2A
1. Take L.H.S as cotA-tanA
2. Convert tanA to 1/cotA
3. On soving we get cot^2A-1/cotA
4. Multiply and divide 2 in the above equation.
5. Putting the value of cot^2A-1/2cotA = cot2A, we get 2cot2
Hence we prove that cotA-tanA=2cot2A

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