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Question

Prove the following trigonometric identities:

1cos θsin θ=sin θ1+cos θ

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Solution

We know ,

sin2θ+cos2θ=1

Multiplying both numerator and denominator by (1+cosθ), we have

=1cos2θ(1+cosθ)(sinθ)=(sin2θ)(1+cosθ)(sinθ)=(sinθ)(1+cosθ)


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