Prove each of the following identities : `(i) (1+ cos theta)(1- cos theta)(1+ cot^(2) theta)=1 `

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Prove each of the following identities : `(i) (1+ cos theta)(1- cos theta)(1+ cot^(2) theta)=1 ` ` (ii) \"cosec\" theta (1+ cos theta)(\"cosec\" theta - cot theta)=1 `
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