Ângulos hiperbólicos e funções hiperbólicas

This work has as main objective to study the functions through the concepts and properties of hyperbole. We present a review on trigonometric angles and trigonometric functions in a convenient way for use in the work. A study is made of hyperbole, describing its main elements and properties, such as...

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Detalles Bibliográficos
Autor: Rodrigues, Kennedy Félix
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Federal de Sergipe (UFS)
Repositorio:Repositório Institucional da UFS
Idioma:portugués
OAI Identifier:oai:oai:ri.ufs.br:repo_01:riufs/10221
Acceso en línea:http://ri.ufs.br/jspui/handle/riufs/10221
Access Level:acceso abierto
Palabra clave:Matemática
Funções trigonométricas
Hipérbole
Rotação hiperbólica
Ângulo hiperbólico
Funções hiperbólicas
Trigonometric functions
Hyperbola
Hyperbolic rotation
Hyperbolic angle
Hyperbolic functions
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:This work has as main objective to study the functions through the concepts and properties of hyperbole. We present a review on trigonometric angles and trigonometric functions in a convenient way for use in the work. A study is made of hyperbole, describing its main elements and properties, such as its equations in canonical form and in the form of equation of the second degree. In the speci c case of the hyperbola of equation xy = a, it is de ned rotation, hyperbolic sector and angle, and properties such as the preservation of a triangle area on hyperbole and hyperbolic sector. A study of the functions hyperbolic, presenting the de nition of sine, cosine and other hyperbolic functions and their properties, like the hyperbolic angle summing relations, which are treated with and without the use of exponential functions.