Math, asked by tanisha38, 1 year ago

CotA + cosec A-1 /cot A - cosec A +1 = 1 + cos A /sin A

Answers

Answered by Anonymous
7



Sol:
(Cot A + Cosec A - 1) / (Cot A - Cosec A + 1)


= (Cot A + Cosec A) - (Cosec2 A - Cot2 A) / (Cot A - Cosec A + 1)

= (Cot A + Cosec A) [1 - Cosec A + Cot A) / (Cot A - Cosec A + 1)]

= (Cot A + Cosec A)

= (Cos A/Sin A  + 1/Sin A)

= (1 + Cos A) / Sin A

Hence proved.

Answered by Fuschia
14
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