OFFER (One-Figure-Facilitates-Every-Relationship)for Trigonometric Functions
General Mathematics
2026-07-11 v1
Abstract
This article describes an approach that uses a single figure to illustrate all six trigonometric functions, their fundamental identities, and the law of cosines. We name this method OFFER (one-figure-facilitates-every-relationship) for the convenience of mathematics teaching. The article also describes the SPORT (story-picture-observe-review-tell) approach to effective mathematics learning.
Cite
@article{arxiv.2607.10121,
title = {OFFER (One-Figure-Facilitates-Every-Relationship)for Trigonometric Functions},
author = {Samuel S. P. Shen},
journal= {arXiv preprint arXiv:2607.10121},
year = {2026}
}
Comments
18 pages, 8 figures, Python and R code at https://doi.org/10.5281/zenodo.21267201