(SecA+tanA) (1-sinA) =?
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Answer:
(sec A+tan A)(1-sinA)
=sec A+tan A-secA.sinA-tanA.sinA
=sec A+tanA-sinA/cosA-tanA.sinA
=secA+tanA-tanA-tanA.sinA
=secA-tanA.sinA
=1/cosA-sinA.sinA/cosA
=1/cosA-sin^2A/cosA
=(1-sin^2A)/cosA
=cos^2A/cosA
=cosA
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