Question

tanA/(1+tan²A²) + cot A/(1+cot²A²) = sin A cos A
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Answer 1

follow the above steps

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Answer 2

Step-by-step explanation:

LHS = tan A/( 1 + tan^2 A^2)+ cot A/ (1 + cot^2 A^2)

= tan A/(sec^2 A)^2 + cot A/(cosec^2 A)^2

=(sin A/cos A)/(/cos^4 A) +

(cos A/sin A)/(1/sin^4A)

= sin A cos^3A+ is A sin ^3 A

= sin A cos A( sin^2A+ cos^2A)

= sin A cos A

= RHS