Prove that: \[ \begin{aligned} (1+\cot \mathrm{A}+\tan \mathrm{A})(...

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Prove that:
\[
\begin{aligned}
(1+\cot \mathrm{A}+\tan \mathrm{A})(\sin \mathrm{A}- & \cos \mathrm{A}) \\
& =\frac{\sec \mathrm{A}}{\operatorname{cosec}^{2} \mathrm{~A}}-\frac{\operatorname{cosec} \mathrm{A}}{\sec ^{2} \mathrm{~A}} .
\end{aligned}
\]
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