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.
%0 Journal Article
%1 holdener09
%A Holdener, Judy A.
%D 2009
%J Mathematics Magazine
%K trigonometry
%N 2
%P 126
%R 10.4169/193009809X468940
%T Math Bite: Sums of Sines and Cosines
%V 82
%X 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.
@article{holdener09,
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.},
added-at = {2015-12-27T13:25:05.000+0100},
author = {Holdener, Judy A.},
biburl = {https://www.bibsonomy.org/bibtex/298a789a469639cf59338f2c78e7e9995/ytyoun},
doi = {10.4169/193009809X468940},
interhash = {fca752873c1429efc5193213bf56c031},
intrahash = {98a789a469639cf59338f2c78e7e9995},
journal = {Mathematics Magazine},
keywords = {trigonometry},
number = 2,
pages = 126,
timestamp = {2015-12-27T13:25:05.000+0100},
title = {Math Bite: Sums of Sines and Cosines},
volume = 82,
year = 2009
}