MATH116 Lecture Notes - Lecture 3: Eschar, Catenary, Even And Odd Functions
9 Dec 2015
School
Department
Course
Professor
Document Summary
Friday, september 25 lecture 7 : hyperbolic functions (refers to section 1. 10 in your text (d. trim) Students who have mastered the content of this lecture know about: Tthe hyperbolic functions sinh x, cosh x, tanh x, and deriving some of their simplest properties. 7. 1 definition the hyperbolic functions are defined as follows: In the graph below we compare the curves of y = ex/2, y = e x/2 and y = sinh x. We see that the green coloured curve of y = sinh x is asymptotic to the curves of y = ex/2 and y = Many physical phenomena can be modeled by equations containing variations of this function. Note that sinh x is one-to-one on its domain and so has an inverse with no restrictions on the domain. See that sinh x is an odd function. Domain and range of sinh x are all real numbers.
