If \( a \cot \theta+b \operatorname{cosec} \theta=x^{2}, b \cot \th...

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If \( a \cot \theta+b \operatorname{cosec} \theta=x^{2}, b \cot \theta+a \operatorname{cosec} \theta=y^{2} \), prove that \( x^{4}-y^{4}=b^{2}-a^{2} \).
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