Evaluate the following: \[ \sqrt{2} \sin 135^{\circ} \cos 210^{\circ} \tan 240^{\circ} \cot 300^...

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Evaluate the following:
\[
\sqrt{2} \sin 135^{\circ} \cos 210^{\circ} \tan 240^{\circ} \cot 300^{\circ} \sec 330^{\circ}
\]
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