Introduction to the elliptical trigonometry

Trigonometry is a branch of mathematics that deals with relations between sides and angles of triangles. It has some relationship to geometry, though there is disagreement on exactly what that relationship is. For some, trigonometry is just a subtopic of geometry. The trigonometric functions are very important in technical subjects like science, engineering, architecture, and even medicine. In this paper, the elliptical trigonometry is introduced in order to be in the future a part of the trigonometry topic. Thus, the definition of this original part is presented. The elliptic trigonometric functions are also defined. The importance of these functions in producing different signals and forms are analyzed and discussed.