If \( \operatorname{cosec} \theta-\sin \theta=a \) and \( \sec \theta-\cos \theta=b \), prove th...

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If \( \operatorname{cosec} \theta-\sin \theta=a \) and \( \sec \theta-\cos \theta=b \), prove that \( a^{2} b^{2}\left(a^{2}+b^{2}+3\right)=1 \)
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