If \( A, B, C \) are angles of a triangle and \( \left|\begin{array...

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If \( A, B, C \) are angles of a triangle and \( \left|\begin{array}{lll}1 & 1 & 1 \\ 1+\sin A & 1+\sin B & 1+\sin C \\ \sin A+\sin ^{2} A & \sin B+\sin ^{2} B & \sin C+\sin ^{2} C\end{array}\right|=0 \) then triangle \( A B C \) is
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