If A , B ,a n dC are the angles of trian...

If `A , B ,a n dC` are the angles of triangle, show that the system of equations `xsin2A+yi s nC+zsinB=0,sinC+ysin2B+zsinA=0,a n dxsinB+ysinA+zsin2C=0` posses nontrivial solution. Hence, system has infinite solutions.

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