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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Proofs of fundamental angle sum formulae are derived from their trigonometric versions discussed earlier.

In Chapter 2 we deal with trigonometric elements based on similar gooniometricke triangles. 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. Theses on a related topic List of theses with an identical keyword. Masaryk University, Faculty of Science. Your browser does not have JavaScript enabled!

Matematické vzorce

Thus we deal subsequently with the results of the ancient astronomer Claudius Ptolemy, medieval mathematicians of India and Arabia and European mathematicians of Renaissance. At the end of Chapters 2, 3 and 4, we present rich collections of nonstandard problems provided with complete solutions.

  AFH 32-1084 PDF

Full text of thesis Contents of on-line thesis archive Published in Theses: Institution archiving the thesis and making it accessible: The final Bibliography consists of 50 items including Internet resources. czorce

In the remaining parts of Chapter 4 we deal in detail with methods vzroce solving trigonometric equations and their systems, as well as proofs of other numerous identities for trigonometric functions. 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.

Go to top Current date and time: Thesis defence Date of defence: The concluding Chapter 6 deals with some other applications of trigonometric functions. Citation record ISO compliant citation record: We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities.

Goniometrické funkce by Jupíman One on Prezi

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


Chapter 1 describes the main historical periods of the development of the trigonometric theory. Then, we discuss the computational relevancy of representing complex numbers in their vzorcs form.

In Chapter 3 we proceed to the trigonometry of general planar triangles.

Goniometrická rovnice – Wikipedie

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 of angles of all planar triangles.

The File Manager is not fully functional without JavaScript enabled. Finally, we describe the role of trigonometric functions in mathematical cartography.