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Find the radian measure corresponding to the following degree measure: $-47^{\circ} 30^{\prime}$.

$\operatorname{cosec} 15^{\circ} + \sec 15^{\circ}$ is equal to :

If $\alpha$ lies in the second quadrant,then $\sqrt{\frac{1 - \sin \alpha}{1 + \sin \alpha}} - \sqrt{\frac{1 + \sin \alpha}{1 - \sin \alpha}} = $

The value of $\cos A - \sin A$ when $A = \frac{5\pi}{4}$ is

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

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