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Prove that (1+sin2theta)/(1-sin2theta)=(...

Prove that `(1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2`

Text Solution

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LHS`=(1+sin 2theta)/(1-sin 2theta)`
`=(sin^(2)theta+cos^(2)theta+2sin theta cos theta)/(sin^(2)theta+cos^(2)theta-2sin theta cos theta)`
`=((sin theta+cos theta)/(sintheta-cos theta))^(2)`
`=((1+tan theta)/(1-tan theta))^(2)`
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