# 2015 Trig

Geometry Level 4

In $$\bigtriangleup ABC$$, the opposite sides of $$\angle A$$, $$\angle B$$, $$\angle C$$ are $$a$$, $$b$$, $$c$$ respectively. If $$a^{2}+b^{2}=tc^{2}$$, and $$\cot C=2015( \cot A+\cot B)$$, find the value of the constant $$t$$.

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