If `cosectheta-sintheta=a^3, sectheta-costheta=b^3`, then prove that `a^2b^2(a^2+b^2)=1`

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