Prove that: \[ \begin{aligned} (\sin \theta+\sec \theta)^{2}+(\cos ...
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Prove that:
\[
\begin{aligned}
(\sin \theta+\sec \theta)^{2}+(\cos \theta & +\operatorname{cosec} \theta)^{2} \\
& =(1+\sec \theta \operatorname{cosec} \theta)^{2} .
\end{aligned}
\]
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