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Find the value of $\operatorname{cosec} 750^{\circ} - 2 \cot 765^{\circ}$.

$\cos 1^{\circ} \cdot \cos 2^{\circ} \cdot \cos 3^{\circ} \dots \cos 179^{\circ} = $

Find the value of the trigonometric function $\cot \left(-\frac{15 \pi}{4}\right)$.

If $\operatorname{cosec} \theta - \cot \theta = 2017$,then the quadrant in which $\theta$ lies is

$\tan \theta \sin \left( \frac{\pi }{2} + \theta \right) \cos \left( \frac{\pi }{2} - \theta \right) = $

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