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 the value of $B$ is

  • A
    $n \pi, n \in Z$
  • B
    $(2 n+1) \frac{\pi}{2}, n \in Z$
  • C
    $(2 n+1) \frac{\pi}{4}, n \in Z$
  • D
    $2 n \frac{\pi}{3}, n \in Z$

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