Prove that : A 1- A + A 1- A = A+ A+1 - Vidyadip

Question

Prove that : $\frac{\tan \mathrm{A}}{1-\cot \mathrm{A}}+\frac{\cot \mathrm{A}}{1-\tan \mathrm{A}}=\tan \mathrm{A}+\cot \mathrm{A}+1$

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