The Sine of a Single Degree

• Published in 2017
• Added on 2024-01-15

Ostensibly a derivation of an algebraically exact formula for the value of the sine of 1 degree, we present this calculation as a “historical romp” looking at the problem through the tools of geometry, then algebra, and finally complex analysis. Each one of these approaches gets the reader nearer to the correct value, but also serves to frame a vignette of surprising or beautiful mathematics.

Links

• https://maa.org/sites/default/files/pdf/awards/college.math.j.47.5.322.pdf
• https://www.tandfonline.com/doi/abs/10.4169/college.math.j.47.5.322

Other information

BibTeX entry

@article{TheSineOfASingleDegree,
	key = {TheSineOfASingleDegree},
	type = {article},
	title = {The Sine of a Single Degree},
	author = {Travis Kowalski},
	abstract = {Ostensibly a derivation of an algebraically exact formula for the value of the sine of 1 degree, we present this calculation as a “historical romp” looking at the problem through the tools of geometry, then algebra, and finally complex analysis. Each one of these approaches gets the reader nearer to the correct value, but also serves to frame a vignette of surprising or beautiful mathematics.},
	comment = {},
	date_added = {2024-01-15},
	date_published = {2017-10-09},
	urls = {https://maa.org/sites/default/files/pdf/awards/college.math.j.47.5.322.pdf,https://www.tandfonline.com/doi/abs/10.4169/college.math.j.47.5.322},
	collections = {easily-explained,fun-maths-facts,geometry},
	url = {https://maa.org/sites/default/files/pdf/awards/college.math.j.47.5.322.pdf https://www.tandfonline.com/doi/abs/10.4169/college.math.j.47.5.322},
	year = 2017,
	urldate = {2024-01-15}
}