The general solution of $\sin x - 3\sin 2x + \sin 3x = $ $\cos x - 3\cos 2x + \cos 3x$ is

  • [IIT 1989]
  • A

    $n\pi + \frac{\pi }{8}$

  • B

    $\frac{{n\pi }}{2} + \frac{\pi }{8}$

  • C

    ${( - 1)^n}\frac{{n\pi }}{2} + \frac{\pi }{8}$

  • D

    $2n\pi + {\cos ^{ - 1}}\frac{3}{2}$

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