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If $\frac{\cos A}{3} = \frac{\cos B}{4} = \frac{1}{5}$, $-\frac{\pi}{2} < A < 0$, and $-\frac{\pi}{2} < B < 0$, then the value of $2 \sin A + 4 \sin B$ is

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

The value of $\sin^{2} 51^{\circ} + \sin^{2} 39^{\circ}$ is

If $\sin \left( x + \frac{4\pi}{9} \right) = a$ and $\frac{\pi}{9} < x < \frac{\pi}{3}$,then $\cos \left( x + \frac{7\pi}{9} \right)$ equals:

Which of the following equations has no solution?

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