ON TRIGONOMETRIC FUNCTIONS AND NORM IN THE GENERALIZED TAXICAB METRIC

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:2
ON TRIGONOMETRIC FUNCTIONS AND NORM IN THE GENERALIZED TAXICAB METRIC

ON TRIGONOMETRIC FUNCTIONS AND NORM IN THE GENERALIZED TAXICAB METRIC

Authors : S EKMEKÇİ, Z AKÇA, K ALTINTAŞ

Pages : 27-33

Doi:10.36753/mathenot.421326

View : 47 | Download : 10

Publication Date : 2015-10-30

Article Type : Research Paper

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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