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Trigonometric Functions

João Pedro Morais, Svetlin Georgiev and Wolfgang Sprößig
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João Pedro Morais: University of Aveiro, CIDMA
Svetlin Georgiev: University of Sofia St Kliment Ohridski Faculty of Mathematics and Informatics, Department of Differential Equations
Wolfgang Sprößig: TU Bergakademie Freiberg, Institut für Angewandte Analysis

Chapter 6 in Real Quaternionic Calculus Handbook, 2014, pp 107-116 from Springer

Abstract: Abstract In this chapter we define quaternion trigonometric functions. Analogously to the quaternion functions e p and $$\ln (p)$$ , these functions will agree with their counterparts for real and complex input. In addition, we will show that the quaternion trigonometric functions satisfy many of the same identities the real and complex trigonometric functions do.

Keywords: Trigonometric Function; Cosine Function; Secant Function; Complex Sine; Complex Input (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0622-0_6

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