Elementary trigonometry based on a first order differential equation
History and Overview
2011-11-30 v1
Abstract
It is shown that with appropriate boundary conditions, a real function satisfying the differential equation has all known properties of the sine function. A number of elementary derivations are presented including proofs for periodicity and trigonometric identities.
Cite
@article{arxiv.1111.6839,
title = {Elementary trigonometry based on a first order differential equation},
author = {Horia I. Petrache},
journal= {arXiv preprint arXiv:1111.6839},
year = {2011}
}
Comments
5 pages