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Question

Prove that tanA1cotA+cotA1tanA=1+tanA+cotA.

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Solution

tanA1cotA+cotA1tanA
As cotA=1tanA
tan2AtanA11tanA(tanA1)
tan3A1tanA(tanA1)
(tanA1)(tan2A+tanA+1)tanA(tanA1)
tan2A+tanA+1tanA
=tanA+1+cotA
=1+tanA+cotA
Proved.

1208484_1283812_ans_4febc4d5363d452496f29641e46570d2.jpg

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