Cot Ratio Conclusion

Geometry Level pending

\(BC\), \(CA\) and \(AB\) represents three sides of a triangle having lengths \(a\), \(b\) and \(c\) respectively. Angles \(A\), \(B\) and \(C\) are opposite respectively to the sides \(BC\), \(CA\) and \(AB\).

Given that \[a^2 + b^2 = 2015c^2\]

Find the value of :

\[\frac{cot C}{cot A+ cot B}\]

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