If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is

  • A

    $n\pi + {( - 1)^n}\frac{\pi }{4}$

  • B

    ${( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$

  • C

    $n\pi + \frac{\pi }{4} - \frac{\pi }{3}$

  • D

    $n\pi + {( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$

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