Dergiler / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 2
ON TRIGONOMETRIC FUNCTIONS AND NORM IN THE GENERALIZED TAXICAB METRIC
- Sayfa
- 27–33
- DOI
- —
Abstract
In this paper, the plane with the generalized taxicab metric isconsidered and the trigonometric functions and the norm are dened. Then,the cosine and the sine functions are developed by using the reference anglewith respect to the generalized taxicab metric. It is shown that Schwarz'sinequality is valid under restricted case of d_Tg -metric. Finally, the area ofany triangle in the plane with the generalized taxicab metric is given as thegeometrical interpretation that contains the trigonometric functions and norm.