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Question
Prove the following identities:
`sqrt((1 - sinA)/(1 + sinA)) = cosA/(1 + sinA)`
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Solution
L.H.S. = `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)` = R.H.S.
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