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

Dvojnásobný a polovičný argument

In Chapter 3 we proceed to the trigonometry of general planar triangles. The expository chapters are followed by a short goniometrricke named Conclusion, in which we try to evaluate our contribution and beneficial aspects of the thesis.

Firstly, we consider efficient trigonometric substitutions in solving various problems in elementary algebra. Thus we deal subsequently with the results of the ancient astronomer Claudius Ptolemy, medieval mathematicians of India and Arabia and European mathematicians of Renaissance.

Then, we discuss the computational relevancy of representing complex numbers in their polar form. Institution archiving the thesis and making it accessible: Masaryk University, Faculty of Science. 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. At the end of Chapters 2, 3 and 4, we present rich collections of nonstandard problems provided with complete solutions.

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Goniometrické funkce by Jupíman One on Prezi

The proofs of all the stated results are worked out in a unified original fashion. Finally, we describe the role of trigonometric functions in mathematical cartography. Go to top Current date and time: Based on the study of various textbooks and other literature, our explication is done goniometircke a compact and connected original form of six expository chapters.

Chapter 1 describes the main historical periods of the development of the trigonometric theory. Corresponding to the presented project, this thesis is devoted to the systematic explanation of the role of trigonometric voniometricke in elementary mathematics.

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

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

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Full text of thesis Contents of on-line thesis archive Published in Theses: Citation record ISO compliant citation record: The File Manager is not fully functional without JavaScript enabled. Thesis defence Date of defence: In the remaining parts of Chapter goniometric,e we deal in detail with methods of solving trigonometric equations and their systems, as well as proofs of other numerous identities for trigonometric functions.

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In Chapter 2 we deal with trigonometric elements based on similar right-angled triangles. We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities. The final Bibliography consists of 50 items including Internet resources.

Proofs of fundamental angle sum formulae are derived from their trigonometric versions discussed earlier. Your browser does not have JavaScript enabled! Theses on a related topic List of theses with an identical keyword.