Cotangent Trigonometry

Geometry Level 4

In ABC\triangle{ABC}, BC=a cm,AC=b cm,BC=a \text{ cm}, AC=b \text{ cm}, and AB=c cm.AB=c \text{ cm}. Given that a2+b2c2=2011\frac{a^2+b^2}{c^2}=2011, find the value of

cotCcotA+cotB.\frac{\cot C}{\cot A+\cot B}.


This problem is not original.

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