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Prove each of the following identities : `(cot^(2) theta (sec theta -1))/((1+ sin theta))+ (sec^(2)theta (sintheta -1))/((1+ sec theta)) =0 `

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Prove each of the following identities :
`(cot^(2) theta (sec theta -1))/((1+ sin theta))+ (sec^(2)theta (sintheta -1))/((1+ sec theta)) =0 `
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`LHS =(cot^(2)theta(sec^(2)theta-1)+sec^(2)theta (sin^(2)theta-1))/((1+sintheta)(1+sec theta))=((cot^(2)thetatan^(2)theta)-(sec^(2)thetacos^(2)theta))/((1+sintheta)(1+sec theta))=0.`
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