What happened to \(3\pi/9\)?

Geometry Level 5

\[\large{f(x)=8\left(x-\cos \frac{\pi}{9}\right)\left(x-\cos\frac{5\pi}{9}\right)\left(x-\cos \frac{7\pi}{9}\right)}\] Find \(f(0)+f(1)+f(10)\).

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