Article,

Math Bite: Sums of Sines and Cosines

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Mathematics Magazine, 82 (2): 126 (2009)
DOI: 10.4169/193009809X468940

Abstract

This illustration of two sums of sines and cosines shows a finger supporting a tray of glasses. The center of mass of the tray, on which the glasses are placed at the Nth roots of unity, clearly lies at the origin. This shows that the sums of real and imaginary parts are zero and these are the sums of sines and cosines of the title.

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