ON TRIGONOMETRIC FUNCTIONS AND NORM IN THE GENERALIZED TAXICAB METRIC

Year 2015, Volume: 3 Issue: 2, 27 - 33, 30.10.2015

S. Ekmekçi , Z. Akça K. Altıntaş

https://doi.org/10.36753/mathenot.421326

Cited By: 2

Abstract

In this paper, the plane with the generalized taxicab metric is

considered and the trigonometric functions and the norm are dened. Then,

the cosine and the sine functions are developed by using the reference angle

with respect to the generalized taxicab metric. It is shown that Schwarz's

inequality is valid under restricted case of d_Tg -metric. Finally, the area of

any triangle in the plane with the generalized taxicab metric is given as the

geometrical interpretation that contains the trigonometric functions and norm.

Keywords

trigonometric functions, non- Euclidean metric, generalized taxicab metric

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