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(secA+cosA)(secA-cosA)=tan^2A+sin^2A

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(\sec A+\cos A)(\sec A-\cos A)=\sec^2A-\cos^2A


\sec^2A-\cos^2A=(1+\tan^2A)-(1-\sin^2A)


(1+\tan^2A)-(1-\sin^2A)=\tan^2A+\sin^2A

User Armen Hovhannisian
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