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Question
Prove that : `1 - (cos^2 θ)/(1 + sin θ) = sin θ`.
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Solution
LHS = `1 - (cos^2 θ)/(1 + sin θ)`
= `1 - (1 - sin^2 θ)/(1 + sin θ)`
= `1 - ((1 - sin θ)(1 + sin θ))/(1 + sin θ)`
= 1 - ( 1 - sin θ )
= 1 - 1 + sin θ
= sin θ
= RHS
Hence proved.
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