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प्रश्न
Prove the following identities:
`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`
उत्तर
`sqrt((1 + sinA)/(1 - sinA))`
= `sqrt((1 + sinA)/(1 - sinA) xx (1 - sinA)/(1 - sinA))`
= `sqrt((1 - sin^2A)/(1 - sinA)^2)`
= `sqrt(cos^2A/((1 - sinA)^2)`
= `cosA/(1 - sinA)`
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