Title

Squigonometry

Author

Andrew Hatfield, Undergraduate
Riley Klette, Undergraduate
Christopher Moore, Undergraduate
Beth Warden, Undergraduate

Files

Publication Date

4-2021

Document Type

Presentation

Presentation Type

Group

Degree Type

Undergraduate

Department

Mathematics

Mentor

Sunil Chebolu

Mentor Department

Mathematics

Abstract

Trigonometry is the study of circular functions - functions defined on the unit circle where distances are measured with respect to the Euclidean norm. In our research, we develop a parallel theory of trigonometric and inverse trigonometric functions for the p-norm. This is called squigonometry because the resulting functions are defined on a squircle. This approach leads to new transcendental periods, formulas, and identities. It also extends to exponential, hyperbolic, and logarithmic functions in the p-norm.

Notes

Authors: Sunil Chebolu, Andrew Hatfield, Riley Klette, Christopher Moore, Beth Warden

Recommended Citation

Hatfield, Andrew; Klette, Riley; Moore, Christopher; and Warden, Beth, "Squigonometry" (2021). Mathematics. 2.
https://ir.library.illinoisstate.edu/urs2021mat/2