Prove that: \[ 2 \sin ^{2} \frac{\pi}{6}+\operatorname{cosec} \frac{7 \pi}{6} \cos ^{2} \frac{\p...

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Prove that:
\[
2 \sin ^{2} \frac{\pi}{6}+\operatorname{cosec} \frac{7 \pi}{6} \cos ^{2} \frac{\pi}{3}=0
\]
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