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If "cosec" theta - sin theta = a^(3) an...

If `"cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3)`, then prove that `a^(2)b^(2)(a^(2) + b^(2))= 1.`

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The correct Answer is:
`cos^(2) theta + sin^(2) theta = 1 `
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