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In an acute angled traingle ABC ,if sin 2 (A + B - C) =1 and tan ( B + C-A)=3 , then the value of angle B is

In an acute angled traingle ABC ,if sin 2 (A + B - C) =1 and tan ( B + C-A)=3 , then the value of angle B is Correct Answer 52%

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\[{\text{f}}\left( \theta \right) = \left| {\begin{array}{*{20}{c}} {\sin \theta }&{\cos \theta }&{\tan \theta } \\ {\sin \left( {\frac{\pi }{6}} \right)}&{\cos \left( {\frac{\pi }{6}} \right)}&{\tan \left( {\frac{\pi }{6}} \right)} \\ {\sin \left( {\frac{\pi }{3}} \right)}&{\cos \left( {\frac{\pi }{3}} \right)}&{\tan \left( {\frac{\pi }{3}} \right)} \end{array}} \right|\