Some identities on degenerate trigonometric functions
Taekyun Kim, Dae San kim
TL;DR
This paper explores degenerate versions of classical trigonometric functions, deriving identities and multiple angle formulas using elementary methods, thereby expanding the theoretical understanding of these specialized functions.
Contribution
It introduces and analyzes identities for degenerate trigonometric functions, including multiple angle formulas, which are novel contributions to the field.
Findings
Derived identities among degenerate trigonometric functions
Established multiple angle formulas for degenerate cotangent and sine functions
Used elementary methods for proofs
Abstract
In this paper, we study several degenerate trigonometric functions, which are degenerate versions of the ordinary trigonometric functions, and derive some identities among such functions by using elementary methods. Especially, we obtain multiple angle formulas for the degenerate cotangent and degenerate sine functions.
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Taxonomy
TopicsMathematical functions and polynomials · Iterative Methods for Nonlinear Equations · Differential Equations and Boundary Problems