If $\tan \theta + \tan 2\theta + \sqrt 3 \tan \theta \tan 2\theta = \sqrt 3 ,$ then

  • A

    $\theta = (6n + 1)\pi /18,\,\forall n \in I$

  • B

    $\theta = (6n + 1)\pi /9,\,\forall n \in I$

  • C

    $\theta = (3n + 1)\pi /9,\,\forall n \in I$

  • D

    None of these

Similar Questions

The number of elements in the set $S=$ $\left\{\theta \in[-4 \pi, 4 \pi]: 3 \cos ^{2} 2 \theta+6 \cos 2 \theta-\right.$ $\left.10 \cos ^{2} \theta+5=0\right\}$ is

  • [JEE MAIN 2022]

Let $S=\{x \in R: \cos (x)+\cos (\sqrt{2} x)<2\}$, then

  • [KVPY 2018]

The real roots of the equation $cos^7x\,  +\,  sin^4x\,  =\,  1$  in the interval $(-\pi, \pi)$ are

If $\tan \theta + \tan 2\theta + \tan 3\theta = \tan \theta \tan 2\theta \tan 3\theta $, then the general value of $\theta $ is

If $\sin 3\alpha = 4\sin \alpha \sin (x + \alpha )\sin (x - \alpha ),$ then $x = $