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Question
Prove the following identities:
`1 - cos^2A/(1 + sinA) = sinA`
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Solution
L.H.S. = `1 - cos^2A/(1 + sinA)`
= `(1 + sinA - cos^2A)/(1 + sinA)`
= `(sinA + sin^2A)/(1 + sinA)`
= `(sinA(1 + sinA))/(1 + sinA)`
= sin A = R.H.S.
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