Question

Sin A/1-cot A + cps A/1+tan A = sin A+ cos A

Answer 1

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➡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).

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Answer 2

Answer:

Step-by-step explanation: