Math, asked by adaterutu, 5 months ago

Prove: (tan A)/((1 + tan^2 A) ^ 2) + (cos A)/((1 + cot^2 A) ^ 2) = sinA * cosA

Answers

Answered by sivakamivs

0

tanA +. cotA

(1+tan²A)². (1+cot²A)²

=tanA. + cotA

(sec²A)². (cosec²A)²

sinA. +. cosA

cosA. sinA

1. 1.

cos⁴A. sin⁴A

=sinA*cos³A. + cosA* sin³A

=sinAcosA(cos²A +. sin²A)

sinAcosA× 1

sinA cosA

LHS = RHS

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