If $a+b+c=\pi$, then the value of $\left|\begin{array}{ccc}\sin (a+b+c) & \sin (a+c) & \cos b \\ -\sin b & 0 & \tan a \\ \cos (a+c) & \tan (b+c) & 0\end{array}\right|$ is:

0 1 -1 2

0

The correct answer is Option (1) - 0