A) \[(2n+1)\frac{\pi }{2}\]
B) \[n\pi \]
C) \[(2n+1)\frac{\pi }{2}\]
D) \[2n\pi \]
Correct Answer: A
Solution :
On expanding determinant, \[{{\cos }^{2}}(A+B)+{{\sin }^{2}}(A+B)+\cos 2B=0\] \[1+\cos 2B=0\]or \[\cos 2B=\cos \pi \] or \[2B=2n\pi +\pi \] or \[B=(2n+1)\frac{\pi }{2},\,\,n\in Z.\]
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