In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or
circular functions. The basic hyperbolic functions are the hyperbolic sine "sinh ...
The hyperbolic functions enjoy properties similar to the trigonometric functions;
their definitions, though, are much more straightforward: displaymath121.
The hyperbolic sine is defined as ... is the hyperbolic cosine, and the indefinite
integral by ... Spanier, J. and Oldham, K. B. "The Hyperbolic Sine sinh(x) ...
The hyperbolic functions share many properties with the corresponding circular
functions. In fact, just as the circle can be represented parametrically by ...
The notation chx is sometimes also used (Gradshteyn and Ryzhik 2000, p. xxix).
This function describes the shape of a hanging cable, known as the catenary.
The last set of functions that we're going to be looking in this chapter at are the
hyperbolic functions. In many physical situations combinations of and arise fairly
In this unit we define the three main hyperbolic functions, ... The hyperbolic
functions cosh x and sinh x are defined using the exponential function ex. We.
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Apr 19, 2009 ... ... Functions - The Basics. In this video, I give the definitions of the hyperbolic
functions, do a rough graph of three of the hyperbolic functions, ...
Math2.org Math Tables: Hyperbolic Trigonometric Identities. (Math). Hyperbolic
Definitions. sinh(x) = ( e<sup>x</sup> - e<sup>-x</sup> )/2. csch(x) = 1/sinh(x) = 2/( e<sup>x</sup> - e<sup>-x</sup> ). cosh(x) = ( e
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Mar 27, 2012 ... This animation, created using MATLAB, illustrates the formation of the hyperbolic
sine (sinh) and hyperbolic cosine (cosh) functions from the ...