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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+ysinC + zsinB=0,xsinC+ysin2B+zsinA=0`and `xsinB + ysinA + zsin2C=0` posses nontrivial solution. Hence, system has infinite solutions.

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