If A, B and C are the angles of a triangle and
\(\left| {\begin{array}{*{20}{c}} 1&1&1\\ {1 + \sin A}&{1 + \sin B}&{1 + \sin C}\\ {\sin A + {{\sin }^2}A}&{\sin B + {{\sin }^2}B}&{\sin C + {{\sin }^2}C} \end{array}} \right| = 0\)
Then which one of the following is correct?
1
The triangle ABC is isosceles
2
The triangle ABC is equilateral
3
The triangle ABC is scalene
4
No conclusion conclusion can be drawn with regard To the nature of the triangle