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