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J(i)(1-cos theta)(1+cos theta)(1+cot^(2)...

J(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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