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

Find the values of the other five trigonometric functions if $\cos x = -\frac{1}{2}$ and $x$ lies in the third quadrant.

$\sin 15^\circ + \cos 105^\circ = $

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

If $y = \log_e \tan \left(\frac{\pi}{4} + \frac{x}{2}\right)$,then $\tanh \left(\frac{y}{2}\right) = $

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