(sec a +tan a) (1-sin a)
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Step-by-step explanation: sec A+tan A)(1-sinA)
=(1/cos A + sin A/cos A)(1-sinA)
=[(1+sinA)/cosA](1-sinA)
=(1+sinA)(1-sinA)/cosA
=(1-sin^2 A)/cosA
=(cos^2 A)/cos A
=cos A
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