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An Engineers Quick Trigonometry Laws and Identities Reference. Tato stránka navrhuje vyučovat všechny poznatky z algebry, geometrie a trigonometrie za prvních 12 let a sledovat předmětu z několika zemí;. Součtové vzorce pro goniometrické funkce a jejich aplikace. Titile (in english). Sum Formulas for Trigonometric Functions and Their Applications. Type.

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We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities. Masaryk University, Faculty of Science. Firstly, we consider efficient trigonometric substitutions in solving various problems in elementary algebra. The proofs of all the stated results are worked out in a unified original fashion. Proofs of fundamental gonkometricke sum formulae are derived from their goniometrice versions discussed earlier.

Go to top Current date and time: Thus we deal subsequently with the results of the ancient astronomer Claudius Ptolemy, medieval mathematicians of India and Arabia and European mathematicians of Renaissance.

Součtové vzorce pro goniometrické funkce a jejich aplikace

The final Bibliography consists of 50 items including Internet resources. In the remaining parts of Chapter 4 we deal in detail with methods of solving trigonometric equations and their systems, as well as proofs of other numerous identities for trigonometric vzorcee.


Chapter 4, a pivotal part of the thesis, is devoted to a systematic exposition of the theory of trigonometric functions in the domain of all real numbers. Thesis defence Date of defence: Corresponding to the presented project, this thesis is devoted to the systematic explanation of the role of trigonometric functions in elementary mathematics.

The exceptional Chapter 5 is conceived as an encyclopaedia-like survey of numerous identities and inequalities which are provided by triples of angles of all planar triangles.

Full text of thesis Contents of on-line thesis archive Published in Theses: At the end of Chapters 2, 3 and 4, we present rich collections of nonstandard problems provided with complete solutions.

The expository chapters are followed by a short section named Conclusion, in which we try to evaluate our contribution and beneficial aspects of the thesis. In Chapter 2 we deal with trigonometric elements gonipmetricke on similar right-angled triangles.

Metody a užití goniometrických funkcí v elementární matematice – Mgr. Radka Smýkalová, Ph.D.

This chapter ends with a detailed description of trigonometric achievements of Leonhard Euler, who transformed the theory of trigonometric functions to its current version. In Chapter 3 we proceed to the trigonometry of general planar triangles. Finally, we describe the role of trigonometric functions in mathematical cartography.


yoniometricke The concluding Chapter 6 deals with some other applications of trigonometric functions. Citation record ISO compliant citation record: Theses on a related topic List of theses with an identical keyword.

Based on the study of various textbooks and other goniometrjcke, our explication is done in a compact and connected original form of six expository chapters. Then, we discuss the computational relevancy of representing complex numbers in their polar form. Chapter 1 describes the main historical periods of the development of the trigonometric theory.

Your browser does not have JavaScript enabled! Institution archiving the thesis and making it accessible: