@article {MATHEDUC.06113462,
author = {Barkan, Stanley},
title = {If not, then what if as well? Unexpected trigonometric insights.},
year = {2012},
journal = {The Mathematics Enthusiast},
volume = {9},
number = {1/2},
issn = {1551-3440},
pages = {19-36},
publisher = {Information Age Publishing (IAP), Charlotte, NC; University of Montana, Department of Mathematical Sciences, Missoula, MT},
abstract = {Summary: In performing an exercise of ``what if not", one can end up with a paucity of structure. Adding alternative structure can be a rich source of discovery, as we present here. The framework of this presentation is the original voyage of discovery, from a trivial geometric problem to the derivation of some unexpected trigonometric formulae based on regular polygons. The original ``voyage" has been changed only sufficiently to make the text readable.},
msc2010 = {G60xx},
identifier = {2013a.00618},
}