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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-231
Full Name: Claude Bayeh
Position: Researcher
Age: ON
Sex: Male
Address: Dora, St Joseph Steet
Country: LEBANON
Tel: 00961-70-251690
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E-mail address: claude_bayeh_cbegrdi@hotmail.com
Other E-mails: c.bayeh@hotmail.com
Title of the Paper: Introduction to the Rectangular Trigonometry in Euclidian 2D-space
Authors as they appear in the Paper: Claude Bayeh
Email addresses of all the authors: claude_bayeh_cbegrdi@hotmail.com
Number of paper pages: 10
Abstract: 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 Astronomy, Relativity, science, engineering, architecture, and even medicine. In this paper, the rectangular trigonometry is introduced in order to be in the future a part of the General trigonometry topic. Thus, the definition of this original part is presented. The rectangular trigonometric functions are also defined. The importance of these functions is by producing multi signal forms by varying some parameters of a single function. Different signals and forms are analyzed and discussed. The concept of the rectangular Trigonometry is completely different from the traditional trigonometry in which the study of angles is not the r!
elation between sides of a right triangle that describes a circle as the previous one, but the idea here is to use the relation between angles and sides of a rectangular form with the internal and external circles formed by the intersection of the rectangular form and the positive parts of x'ox and y'oy axis in the Euclidian 2D space and their projections. This new concept of relations will open a huge gate in the mathematical domain and it can resolve many complicated problems that are difficult or almost impossible to solve with the traditional trigonometry, and it can describe a huge number of multi form periodic signals.
Keywords: Mathematics, geometry, trigonometry, angular function, multi form signal, power electronics
EXTENSION of the file: .pdf
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