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Abstract
In this paper, we review some of the fundamental properties of the
ℓ 1 , or taxicab,
metric on
ℝ 2 .
We define and give explicit formulas for two-parameter sine and cosine functions for this
metric space. We also determine the maximum of these functions, which is greater
than
1 .
Keywords
taxicab trigonometry, Minkowski geometry
Mathematical Subject Classification 2010
Primary: 51F99, 52A21
Milestones
Received: 24 June 2013
Revised: 6 November 2013
Accepted: 7 November 2013
Published: 5 June 2015
Communicated by Frank Morgan