# Complenometry

Geometry Level 4

$\sin\left (\frac{2π}{7} \right )+\sin\left (\frac{4π}{7} \right )+\sin \left(\frac{8π}{7} \right )$

The value of the expression above can be expressed in the form $$a+\frac{\sqrt{b}}{c}$$ where $$a,b,c$$ are whole numbers with $$b$$ is square-free.

Find $$a+b+c$$.

###### This is similar to Know Some Trigonometry
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