Transcription of Hyperbolic functions - mathcentre.ac.uk
{{id}} {{{paragraph}}}
Example: marketing
Hyperbolic functions - mathcentre.ac.uk
Hyperbolic functionsThe Hyperbolic functions have similar names to the trigonmetric functions , but they are definedin terms of the exponential function. In this unit we define the three main Hyperbolic functions ,and sketch their graphs. We also discuss some identities relating these functions , and mentiontheir inverse functions and reciprocal order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second reading this text, and/or viewing the video tutorial on this topic, you should be able to: define the functionsf(x) = coshxandf(x) = sinhxin terms of the exponential function,and define the functionf(x) = tanhxin terms of coshxand sinhx, sketch the graphs of coshx, sinhxand tanhx, recognize the identities cosh2x sinh2x= 1 and sinh 2x= 2 sinhxcoshx, understand the meaning of the inverse functions sinh 1x, cosh 1xand tanh 1xand spec-ify their domains, define the reprocal functions sechx, cschxand (x) = (x) = (x) = for Hyperbolic related functions91c mathcentre January 9, 20061.
The hyperbolic functions coshx and sinhx are defined using the exponential function ex. We shall start with coshx. This is defined by the formula coshx = ex +e−x 2. We can use our knowledge of the graphs of ex and e−x to sketch the graph of coshx. First, let us calculate the value of cosh0. When x = 0, ex = 1 and e−x = 1. So
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: