The most general value of $\theta $ which will satisfy both the equations $\sin \theta = - \frac{1}{2}$ and $\tan \theta = \frac{1}{{\sqrt 3 }}$ is
The most general value of $\theta $ which will satisfy both the equations $\sin \theta = - \frac{1}{2}$ and $\tan \theta = \frac{1}{{\sqrt 3 }}$ is
- A
$n\pi + {( - 1)^n}\frac{\pi }{6}$
- B
$n\pi + \frac{\pi }{6}$
- C
$2n\pi \pm \frac{\pi }{6}$
- D
None of these
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- [AIEEE 2004]