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Prove that : (sintheta)/(1+costheta)+(1+...

Prove that : `(sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta`

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`=(sintheta)/(1+ costheta) + (1+costheta)/(sintheta)= (sin^(2)theta + (1+costheta)^(2))/((1+costheta).sintheta)`
`=(sin^(2)theta+1+cos^(2)theta+2 costheta)/((1+costheta). Sintheta)`
`=(sin^(2)theta+ cos^(2)theta)+1+2costheta/((1+costheta).sintheta)`
`=(1+1 + 2 costheta)/((1+costheta).sintheta)`
`=(2(1+costheta))/((1+costheta)sintheta)= 2/sintheta`
`=2"cosec"theta`= R.H.S Hence proved.
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