%0 Journal Article %1 knapp09 %A Knapp, Michael P. %D 2009 %J Mathematics Magazine %K trigonometry %N 5 %P 371--372 %R 10.4169/002557009X478436 %T Sines and Cosines of Angles in Arithmetic Progression %V 82 %X In a recent Math Bite, Judy Holdener gave a physical argument for certain sums of sines and cosines. She comments that It seems that one must enter the realm of complex numbers to prove this result. In this note, we present a more general result whose proof does not require complex numbers.

@article{knapp09, abstract = {In a recent Math Bite, Judy Holdener gave a physical argument for certain sums of sines and cosines. She comments that It seems that one must enter the realm of complex numbers to prove this result. In this note, we present a more general result whose proof does not require complex numbers.}, added-at = {2015-12-27T13:21:46.000+0100}, author = {Knapp, Michael P.}, biburl = {https://www.bibsonomy.org/bibtex/27b5549309ae79fce66554838d1f8a0f9/ytyoun}, doi = {10.4169/002557009X478436}, interhash = {006518915676bad72e717bff3e43b0ee}, intrahash = {7b5549309ae79fce66554838d1f8a0f9}, journal = {Mathematics Magazine}, keywords = {trigonometry}, number = 5, pages = {371--372}, timestamp = {2015-12-27T13:22:22.000+0100}, title = {Sines and Cosines of Angles in Arithmetic Progression}, volume = 82, year = 2009 }