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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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. Theses on a related topic List of theses with an identical keyword.

Thesis defence Date of defence: Chapter 1 describes the main historical periods of the development of the trigonometric theory.

Dvojnásobný a polovičný argument

Your browser does not have JavaScript enabled! Masaryk University, Faculty of Science. We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities.

Full text of thesis Contents of on-line thesis archive Published in Theses: Proofs of fundamental angle sum formulae are derived from their trigonometric versions discussed earlier. The File Manager is not honiometricke functional without JavaScript enabled.


Firstly, we consider efficient trigonometric substitutions in solving various problems in elementary algebra.

This chapter ends with a detailed description of trigonometric achievements of Leonhard Euler, who transformed the theory of trigonometric functions to its current version.

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

The concluding Chapter 6 deals with some other applications of trigonometric functions. 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 functions.

Chapter 4, goniometdicke pivotal part of the thesis, is devoted to a systematic exposition of the theory of trigonometric functions in the domain of all real numbers.

The final Bibliography consists of 50 items including Internet resources.

Vypočítej to — online kalkulačky, vzorce, výpočty

Thus we deal subsequently with the results of the ancient astronomer Claudius Ptolemy, medieval mathematicians of India and Arabia and European mathematicians of Renaissance. Citation record ISO compliant citation record: At the end of Chapters 2, vorce and 4, we present rich collections of nonstandard problems provided with complete solutions.

In Chapter 2 we deal with trigonometric elements based on similar right-angled triangles. Corresponding to the presented project, this thesis is devoted to the systematic explanation of the role of trigonometric functions in elementary mathematics. Based on the study of various textbooks and other literature, our explication is done in a compact and connected original form of six expository chapters.


The exceptional Chapter 5 is conceived as an encyclopaedia-like survey of numerous identities and inequalities which are provided by triples goniometricks angles of all planar triangles. Then, we discuss the computational relevancy of representing complex numbers in their polar form.

Go to top Current date and time: The proofs of all the stated results are worked out in a unified original fashion. In Chapter 3 we proceed to the trigonometry of general planar triangles. Institution archiving the thesis and making it accessible: Finally, we describe the role of trigonometric functions in mathematical cartography.