Math, asked by ismaeldalvi69, 5 months ago

Prove the identity: (sec A – cos A)(cot A + tan A) = sec A.tan A

Answers

Answered by kartikeya327
1

LHS

=(secA-cosA) * (cotA+tanA)

=(1/cosA - cosA) * cosA/sinA + sinA/cosA)

=(1-cos^2A)/cosA * (sin^2A + cos^2A ) / sinA cosA)

={(sin^2A) /cosA}*(1/sinA cosA)

=sinA/cos^2A

= (sin A/cosA)*(1/cosA)

=tanA*secA

=RHS

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