A Trigonometric Inequality

Geometry Level 3

In \(\Delta ABC\) find the 'Minimum' value of,

\(Cot ^{ 2 }\)\({ A }\)+ \(Cot ^{ 2 }\)\({ B }\)+ \(Cot ^{ 2 }\)\({ C }\)

This question is part of the set Best of Me