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.
Kasturiarachi, Aloysius Bathi
"Going off on a Tangent: An Inclusion-Exclusion Identity,"
The Mathematics Enthusiast: Vol. 21
, Article 25.
Available at: https://scholarworks.umt.edu/tme/vol21/iss1/25
Digital Object Identifier (DOI)
University of Montana, Maureen and Mike Mansfield Library