The value of $2 \sin \left(12^{\circ}\right)-\sin \left(72^{\circ}\right)$ is
$\frac{\sqrt{5}(1-\sqrt{3})}{4}$
$\frac{1-\sqrt{5}}{8}$
$\frac{\sqrt{3}(1-\sqrt{5})}{2}$
$\frac{\sqrt{3}(1-\sqrt{5})}{4}$
Find the radian measures corresponding to the following degree measures:
$520^{\circ}$
If $\tan A + \cot A = 4,$ then ${\tan ^4}A + {\cot ^4}A$ is equal to
If $x\sin 45^\circ {\cos ^2}60^\circ = \frac{{{{\tan }^2}60^\circ {\rm{cosec}}30^\circ }}{{\sec 45^\circ {{\cot }^2}30^\circ }},$ then $x = $
Prove that: $(\sin 3 x+\sin x) \sin x+(\cos 3 x-\cos x) \cos x=0$
If $\sin x = \frac{{ - 24}}{{25}},$ then the value of $\tan \, x$ is