If $\cos A\sin \left( {A - \frac{\pi }{6}} \right)$ is maximum, then the value of $A$ is equal to
$\frac{\pi }{3}$
$\frac{\pi }{4}$
$\frac{\pi }{2}$
None of these
If $\tan \theta + \tan 2\theta + \tan 3\theta = \tan \theta \tan 2\theta \tan 3\theta $, then the general value of $\theta $ is
The number of $x \in [0,2\pi ]$ for which $\left| {\sqrt {2\,{{\sin }^4}\,x\, + \,18\,{{\cos }^2}\,x} - \,\sqrt {2\,{{\cos }^4}\,x\, + \,18\,{{\sin }^2}\,x} } \right| = 1$ is
If $2(\sin x - \cos 2x) - \sin 2x(1 + 2\sin x)2\cos x = 0$ then
The general value $\theta $ is obtained from the equation $\cos 2\theta = \sin \alpha ,$ is
If $1 + \cot \theta = {\rm{cosec}}\theta $, then the general value of $\theta $ is