- Mathematical Sciences and Applications E-Notes
- Vol: 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 : 7 | Download : 5
Publication Date : 2015-10-30
Article Type : Research
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