# Good Bye 2015 - 2!

Geometry Level 5

$\large \dfrac{3 \tan^4 \left( \dfrac\pi7 \right) + 1}{35+ \tan^4\left( \dfrac\pi7 \right)} = \dfrac{A}{B} \tan^{C} \left( \dfrac\pi7 \right)$

Given that the equation above is true for positive integers $$A,B,C$$ with $$A,B$$ coprime, find the value of $$A+B+C$$.

×