Trigonometric Angle-Sum Formulas and Conformal Maps

Greg Markowsky, David Treeby

Research output: Contribution to journalArticleResearchpeer-review


Summary: The trigonometric angle-sum formulas are given a new interpretation as statements about conformal maps. In particular, we show how the angle-sum formula for tangent can be realized by equating two different conformal maps from an infinite strip to a disk, and the formulas for sine and cosine by similarly equating conformal maps from an infinite strip to a certain slit domain.

Original languageEnglish
Pages (from-to)195-199
Number of pages5
JournalCollege Mathematics Journal
Issue number3
Publication statusPublished - 3 May 2023

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