If \( A, B \) and \( C \) are the angles of a triangle and \[ \left...

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If \( A, B \) and \( C \) are the angles of a triangle and
\[
\left|\begin{array}{ccc}
1 & 1 & 1 \\
1+\sin A & 1+\sin B & 1+\sin C \\
\sin A+\sin ^{2} A & \sin B+\sin ^{2} B & \sin C+\sin ^{2} C
\end{array}\right|=0
\]
then the triangle must be
(a) isosceles
(b) equilateral
(c) right angled
(d) none of these
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