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The College mathematics journal, 2024-01, Vol.55 (1), p.40-45
Ort / Verlag
Washington: Taylor & Francis Ltd
Erscheinungsjahr
2024
Quelle
Taylor & Francis Journals Auto-Holdings Collection
Beschreibungen/Notizen
SummarySolving polynomial equations and trigonometry are typically taught in separate modules or even separate classes. The derivation of a one-third angle formula gives students the opportunity to tie these two topics together. An algorithm for finding the cosine of one-third of a prescribed angle is based on Cardano’s formula. In addition, we show how this algorithm can be combined with half, double, and triple angle formulas to give exact expressions for trigonometric functions written in terms of radicals for an infinite number of angles between 0 and π/2.