cOS A/1-tan A+sin A/1-cot A
=sin A + cos A.
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Answer:
Step-by-step explanation:
given:
cos A / (1 - tan A) + sin A /(1 - cot A) = sin A + cos A
taking lhs
cos A / (1 - tan A) + sin A /(1 - cot A)
= cos2 A / (cos A - sin A) + sin2 A / (sin A - cos A)
= cos2 A / (cos A - sin A) - sin2 A / (cos A - sin A)
= (cos2 A - sin2 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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Step-by-step explanation:
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