3. Prove that tanA/1-cotA+cotA/1-tanA=1+secA.cosecA

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\frac{t a n A}{1 - c o t A} + \frac{c o t A}{1 - t a n A} = 1 + s e c A . c o s e c A .

(1 + c o t A + t a n A) (s i n A - c o s A) = s i n A t a n A - c o t A c o s A

\frac{t a n A}{1 - c o t A} + \frac{c o t A}{1 - t a n A} = 1 + s e c A c o s e c A

\frac{t a n A}{(1 + t a n^{2} A)^{2}} + \frac{c o t A}{(1 + c o t^{2} A)^{2}} = s i n A c o s A

Prove that Cot A -1 / 2- sec^{2 A = cot A/ 1+tan A}

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