if [tex]\begin{gathered}2\left|\begin{array}{ll}\tt\sin (A+B) &\tt \cos (A+B) \\ \tt\cos (A-B) & \tt\sin (A-B)\end{array}\right|+\sqrt{3}=0\end{gathered}[/tex] then find A.


[tex]\rule{300pt}{0.1pt}[/tex]


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