GONIOMETRICKE VZORCE PDF

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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Matematická Analýza 2 /16 | Kristýna Kuncová

The File Manager is not fully functional without JavaScript enabled. In the remaining parts of Chapter 4 we deal in detail honiometricke methods of solving trigonometric equations and their systems, as well as proofs of other numerous identities for trigonometric functions.

At the end of Chapters 2, 3 and 4, we present rich collections of nonstandard problems provided with complete solutions. Chapter 1 describes the main historical periods of the development of the trigonometric theory.

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

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Thesis defence Date of defence: The proofs of all the stated results are worked out in a unified original fashion. Firstly, we consider efficient trigonometric substitutions in solving various problems in elementary algebra. In Chapter 2 we deal with trigonometric gojiometricke based on similar right-angled triangles. Finally, we describe the role of trigonometric functions in mathematical cartography.

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Geometrie úvodní stránka

Theses on a related topic List of theses with an identical keyword. Institution archiving the thesis and making it accessible: Full text of thesis Contents of on-line thesis archive Published in Theses: Go to top Current date and yoniometricke The final Bibliography consists of 50 items including Internet resources.

We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities. In Chapter 3 we proceed to the trigonometry of general planar triangles. This chapter ends with a detailed description of trigonometric achievements of Leonhard Euler, who transformed the theory of trigonometric functions to its current version.

Corresponding to the presented project, this thesis is devoted to the systematic explanation of the role of trigonometric functions in elementary mathematics.

Then, we discuss the computational relevancy of representing complex numbers in their polar form. Proofs of fundamental angle sum formulae are derived from their trigonometric versions discussed earlier. 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.

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

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.

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. 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. Masaryk University, Faculty of Science. Your browser does not have JavaScript enabled!

Thus we deal subsequently with the results of the ancient astronomer Claudius Ptolemy, medieval mathematicians of India and Arabia and European mathematicians of Renaissance.

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