Volume
21
Issue
1-2
Abstract
Undergraduate research in tertiary education offers mathematics students a pathway to engage in high-impact practices. Using a simple sum equals product identity from number theory as a motivator, we build a series of inclusion-exclusion identities for convex polygons using the symmetry inherent in the tangent function. The techniques used are simple and accessible, illuminating and generalizable, in a manner that rejects a singular line of inquiry in favor of a plurality of mathematical ideas.
First Page
459
Last Page
466
Recommended Citation
Kasturiarachi, Aloysius Bathi
(2024)
"Going off on a Tangent: An Inclusion-Exclusion Identity,"
The Mathematics Enthusiast: Vol. 21
:
No.
1
, Article 25.
DOI: https://doi.org/10.54870/1551-3440.1637
Available at:
https://scholarworks.umt.edu/tme/vol21/iss1/25
Digital Object Identifier (DOI)
10.54870/1551-3440.1637
Publisher
University of Montana, Maureen and Mike Mansfield Library
