If \( A, B, C \) are the angle of a triangle and \( \left|\begin{array}{ccc}\sin A & \sin B & \s...

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If \( A, B, C \) are the angle of a triangle and \( \left|\begin{array}{ccc}\sin A & \sin B & \sin C \\ \cos A & \cos B & \cos C \\ \cos ^{3} A & \cos ^{3} B & \cos ^{3} C\end{array}\right|=0 \), then show that \( \triangle A B C \) is an isosceles.
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