Prove each of the following identities : ` (i) sin^(6) theta + cos^(6)theta = 1- 3 sin^(2) theta

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Prove each of the following identities : ` (i) sin^(6) theta + cos^(6)theta = 1- 3 sin^(2) theta cos^(2) theta ` `(ii) sin^(2)theta + cos^(4) theta = cos^(2) theta + sin^(4) theta ` `(iii) \"cosec\"^(4) theta - \"cosec\"^(2) theta = cot^(4) theta + cot^(2) theta `
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