This is so odd

Geometry Level 2

cos(π11)cos(2π11)+cos(3π11)cos(4π11)+cos(5π11)= ?\cos\left( \frac{\pi}{11}\right) - \cos\left( \frac{2\pi}{11} \right)+ \cos\left( \frac{3\pi}{11}\right) \\ - \cos\left( \frac{4\pi}{11} \right)+ \cos\left( \frac{5\pi}{11} \right)=\ ?

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