Number of roots of the equation ${\cos ^2}x + \frac{{\sqrt 3  + 1}}{2}\sin x - \frac{{\sqrt 3 }}{4} - 1 = 0$ which lie in the interval $[-\pi,\pi ]$ is

  • A

    $2$

  • B

    $4$

  • C

    $6$

  • D

    $8$

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  • [JEE MAIN 2015]

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