Math, asked by krishnarastogi0605, 3 months ago

sin a/ 1 - cot a+ cos a/ 1 - tan a = cos a + sin a​

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Answered by hj184744
1

Answer:

Sol:

cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos A

LHS = cos A / (1 - tan A) + sin A /(1 - cot A)

= cos A / (cos A - sin A) + sin A / (sin A - cos A)

= cos A / (cos A - sin A) - sin A / (cos A - sin A)

= (cos A - sin A) / (cos A - sin A)

= (cos A + sin A) (cos A - sin A) / (cos A - sin A)

= (cos A + sin A).

Hence proved.

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Step-by-step explanation:

Answered by PD626471
5

❥ ʀєғєя τнє ατταϲнмєиτ !

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