Question

prove that cosA/1-tanA + sinA/1-cot A = sinA+ cosA

Answer 1

LHS=cosA/(1-tanA)+sinA/(1-cotA)=cos A/(1 - sin A/cos A) + sin A/(1 - cos A/sin A)=cos²A/ (cos A - sin A) + sin²A / (sin A - cos A)=cos²A/ (cos A - sin A) - sin²A / (cos A - sin A)=(cos ² A - sin ² A) / (cos A - sin A)=(cos A - sin A)(cos A + sin A) / (cos A - sin A)=cos A + sin A i.e RHS

Answer 2

Answer:

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