If \( A B C \) is a triangle and \[ \Delta=\left|\begin{array}{ccc}...

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If \( A B C \) is a triangle and
\[
\Delta=\left|\begin{array}{ccc}
a^{2} & b \sin A & c \sin A \\
b \sin A & 1 & \cos A \\
c \sin A & \cos A & 1
\end{array}\right|
\]
then \( \Delta \) equals to
(a) 0
(b) \( -1 \)
(c) 1
(d) \( a b c \)
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