If $\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos 2 B \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \cos B\end{array}\right|=0$,then $B$ is equal to

  • A
    $(2 n+1) \frac{\pi}{2}$
  • B
    $(2 n+1) \pi$
  • C
    $n \pi$
  • D
    $2 n \pi$

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