English

A simple proof of the transcendence of the trigonometric functions

Number Theory 2019-12-12 v1

Abstract

In this note, we give a simple proof that the values of the trigonometric functions at any nonzero rational number are transcendental numbers.

Keywords

Cite

@article{arxiv.1912.05348,
  title  = {A simple proof of the transcendence of the trigonometric functions},
  author = {Yuanyuan Lian and Kai Zhang},
  journal= {arXiv preprint arXiv:1912.05348},
  year   = {2019}
}