4. Prove that: (sec - cos ) (cot + tan 2) = tan sec
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Step-by-step explanation:
=(1/cosA-cosA)×(cosA/sinA+sinA/cosA)
=(1-cos²2A)/cosA×(sin²A+ cos²2A)/sinAcosA)
={(sin²2A)/cosA)}×(1/sin²2A+cosA)
=sinA/cos²2A=(sinA/cosA)×(1/cosA)
=tanA×secA=RHS
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