# Soviet Russian Cosine #1

Geometry Level 3

If the exact value of $$\displaystyle\cos\frac{\pi}{5} - \cos\frac{2\pi}{5}$$ can be represented in the form $$\displaystyle\frac{a\sqrt{b}}{c}$$, and $$gcd(a, b, c) = 1$$, then find $$a+b+c$$.

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