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Prove that:
$2 \sin ^{2} \frac{\pi}{6}+\csc ^{2} \frac{7 \pi}{6} \cos ^{2} \frac{\pi}{3}=\frac{3}{2}$

Find the degree measure of the angle subtended at the centre of a circle of radius $100 \, cm$ by an arc of length $22 \, cm$ (Use $\pi = \frac{22}{7}$).

Which of the following is not correct?

$\sin \left( \frac{\pi}{10} \right) \sin \left( \frac{3\pi}{10} \right) = $

The value of $\tan (-945^\circ)$ is

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