Ângulos hiperbólicos e funções hiperbólicas

• Ano de defesa: 2014
• Autor(a) principal: Rodrigues, Kennedy Félix
• Orientador(a): Cardoso, José Anderson Valença
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Programa de Pós-Graduação: Mestrado Profissional em Matemática
• Palavras-chave em Português: Matemática; Funções trigonométricas; Hipérbole; Rotação hiperbólica; Ângulo hiperbólico; Funções hiperbólicas
• Palavras-chave em Inglês: Trigonometric functions; Hyperbola; Hyperbolic rotation; Hyperbolic angle; Hyperbolic functions
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://ri.ufs.br/jspui/handle/riufs/10221

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.