Prove that: \[ \begin{aligned} (\sin \mathrm{A}+\operatorname{cosec...

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Prove that:
\[
\begin{aligned}
(\sin \mathrm{A}+\operatorname{cosec} \mathrm{A})^{2}+(\cos \mathrm{A}+ & \sec \mathrm{A})^{2} \\
& =\tan ^{2} \mathrm{~A}+\cot ^{2} \mathrm{~A}+7 .
\end{aligned}
\]
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