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प्रश्न
Prove that `cosA/(1+sinA) + tan A = secA`
उत्तर
L.H.S `cosA/(1+sinA) + tan A`
`= (cos A(1-sinA))/((1+sinA)(1-sinA)) + sinA/cosA`
`= (cosA - sinAcosA)/(1-sin^2A) + sinA/cosA`
`= (cosA - sinAcosA)/cos^2A + sinA/cosA`
`= 1/cosA - sinA/cosA + sinA/cosA`
`= 1/cosA`
= secA
=R.H.S
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