
06113462
j
2013a.00618
Barkan, Stanley
If not, then what if as well? Unexpected trigonometric insights.
Math. Enthus. 9, No. 1/2, 1936 (2012).
2012
Information Age Publishing (IAP), Charlotte, NC; University of Montana, Department of Mathematical Sciences, Missoula, MT
EN
G60
trigonometric identities
problem posing
Euclidean geometry
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.