When is sinx+cosx+tanx+cotx+secx+cscx an integer ?
General Mathematics
2008-03-31 v1
Abstract
In this paper, we investigate the one-variable equation, sinx+cosx+tanx+cotx+secx+cscx=n, where n is an integer. We prove that if n lies between(inclusively) -1 and 6; then the above equation has no real number solutions. While if n is greater than or equal to 7; or less than or equal to -2, then the said equation has a nonempty solution set which we describe.
Cite
@article{arxiv.0803.4184,
title = {When is sinx+cosx+tanx+cotx+secx+cscx an integer ?},
author = {Konstantine Zelator},
journal= {arXiv preprint arXiv:0803.4184},
year = {2008}
}
Comments
9 pages