If $\tan \theta + \tan 2\theta + \tan 3\theta = \tan \theta \tan 2\theta \tan 3\theta $, then the general value of $\theta $ is
$n\pi $
$\frac{{n\pi }}{6}$
$n\pi - \frac{\pi }{4} \pm \alpha $
$\frac{{n\pi }}{2}$
If $\sin 2\theta = \cos \theta ,\,\,0 < \theta < \pi $, then the possible values of $\theta $ are
If $1 + \cot \theta = {\rm{cosec}}\theta $, then the general value of $\theta $ is
If $\cos 2\theta + 3\cos \theta = 0$, then the general value of $\theta $ is
The number of values of $x$ in the interval $[0, 5 \pi ] $ satisfying the equation $3{\sin ^2}x - 7\sin x + 2 = 0$ is
The number of solutions $x$ of the equation $\sin \left(x+x^2\right)-\sin \left(x^2\right)=\sin x$ in the interval $[2,3]$ is