Prove that: \[ \frac{1}{\operatorname{cosec} \theta-\cot \theta}-\f...

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Prove that:
\[
\frac{1}{\operatorname{cosec} \theta-\cot \theta}-\frac{1}{\sin \theta}=\frac{1}{\sin \theta}-\frac{1}{\operatorname{cosec} \theta+\cot \theta} \text {. }
\]
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