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Prove that : (secA+tanA)(1-sinA)=cosA...

Prove that : `(secA+tanA)(1-sinA)=cosA`

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L.H.S. `=(secA+tanA)(1-sinA)`
`=((1)/cosA+(sinA)/(cosA)) (1-sinA)=((1+sinA))/(cosA)(1-sinA)`
`=(1-sin^(2)A)/(cosA)=(cos^(2)A)/(cosA)=cosA=R.H.S.`
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