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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Goniometrické funkce by Jupíman One on Prezi

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This chapter ends with a detailed description of trigonometric achievements of Leonhard Euler, who transformed the theory of trigonometric functions to its current version. Based on the study vzogce various textbooks and other literature, our explication is done in a compact and connected original form of six expository chapters.

Full text of thesis Contents of on-line thesis archive Published in Theses: 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. 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.


The final Bibliography consists of 50 items including Internet resources. The exceptional Chapter 5 is conceived as an encyclopaedia-like survey of numerous identities and gniometricke which are provided by triples of angles of all planar triangles. Citation record ISO compliant citation record: The proofs of all the stated results are worked out in a unified original fashion.

Geometrie úvodní stránka

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

In Chapter 3 goniometrixke proceed to the trigonometry of general planar triangles. Institution archiving the thesis and making it accessible: Go to top Current date and time: Firstly, we consider efficient trigonometric substitutions in solving various problems in elementary algebra.

In the remaining parts of Chapter 4 we deal in detail with methods of solving vzorcce equations and their systems, as well as proofs of other numerous identities for trigonometric functions. Theses on a related topic List of theses with an identical keyword.

  42PFL3208H 12 PDF

goniometrlcke Then, we discuss the computational relevancy of representing complex numbers in their polar form. At the end of Chapters 2, 3 and 4, we present rich collections of nonstandard problems provided with complete solutions. Finally, we describe the role of trigonometric functions in mathematical cartography.

Chapter 1 describes the main historical periods of the development of the trigonometric theory.

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.

Goniometrická rovnice

Proofs of fundamental angle sum formulae are derived from their trigonometric versions discussed earlier. We begin with usual unit-circle definitions to obtain all needed properties including basic useful identities.

The concluding Chapter 6 deals with some other applications of trigonometric functions. Thesis defence Date of defence: