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`(1+tanA)/(1-tanA)=(cos2A)/(1-sin2A)`

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`(1+tanA)/(1-tanA)=(cos2A)/(1-sin2A)`
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LHS
`=(1+tanA)/(1-tanA)`
`=(1+(sinA/cosA))/(1-(sinA/cosA))`
`=(cosA+sinA)/(cosA-sinA)*(cosA-sinA)/(cosA-sinA)`
`=(cos^2A-sin^2A)/(cosA-sinA)^2`
`=(cos2A)/(cos^2A+sin^2A-2sinAcosA)`
`=(cos2A)/(1-sin2A)`
RHS.
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