Mathematics

Mathematics

Problem

The value of ∑r=010cos⁡3(πr3)\sum_{r=0}^{10} \cos^3\left(\frac{\pi r}{3}\right) is equal to: (a) −78-\frac{7}{8} (b) −98-\frac{9}{8} (c) −38-\frac{3}{8} (d) −18-\frac{1}{8}

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