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The Mathematics Enthusiast

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

Digital Object Identifier (DOI)

10.54870/1551-3440.1637

Publisher

University of Montana, Maureen and Mike Mansfield Library

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