Prove the identities : \[\begin{array}{r}(\sin \mathrm{A}+\operatorname{cosec} \mathrm{A})^{2}+(...

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Prove the
identities :
\[\begin{array}{r}(\sin \mathrm{A}+\operatorname{cosec} \mathrm{A})^{2}+(\cos \mathrm{A}+\sec \mathrm{A})^{2} \\=7+\tan ^{2} \mathrm{~A}+\cot ^{2} \mathrm{~A}\end{array}\]
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