Why are the hyperbolic functions defined the way they are?
Feb 7, 2020 · Hyperbolic functions may also be used to define a measure of distance in certain kinds of non-Euclidean geometry. How is hyperbolic function related to trigonometry ? The followings are the …
Real world uses of hyperbolic trigonometric functions
Jan 27, 2017 · I covered hyperbolic trigonometric functions in a recent maths course. However I was never presented with any reasons as to why (or even if) they are useful. Is there any good examples …
The interconnection between Hyperbolic functions and Euler's Formula
Jul 16, 2018 · Hyperbolic functions " occur in the solutions of many linear differential equations (for example, the equation defining a catenary), of some cubic equations, in calculations of angles and …
Connection between hyperbola and hyperbolic functions
May 23, 2020 · My basic reasoning about its research aspect is that: (1) Similar relations between euclidean/hyperbolic geometry should hold good for expressing cartesian coordinates in the plane …
What are Hyperbolic Trig Functions Functions of?
May 31, 2018 · 4 Circular trig functions take in an angle and spit out a ratio. What do hyperbolic functions take in (I know it's a number, but what geometrically does it represent)?
hyperbolic functions - Derivatives of $\sinh x$ and $\cosh x ...
Can someone give me an intuitive explanation about the derivatives of $\\sinh x$ and $\\cosh x$? Something similar to: Intuitive understanding of the derivatives of $\\sin x$ and $\\cos x$ Thanks!
Hyperbolic functions. Why are they named with trig functions?
Feb 11, 2018 · I don't really get why these hyperbolic functions are named after trig functions. Can someone enlighten me?
trigonometry - Geometric definitions of hyperbolic functions ...
Can the hyperbolic functions be constructed geometrically as well? I know that sinh sinh and cosh cosh can be constructed based on the area between a ray through the origin and the unit hyperbola, but …
why do we use the hyperbolic functions? [duplicate]
The imverse hyperbolic functions are particularly useful in integration, for example when dealing with positive quadratic functions inside square roots. Although such integrals can be done with trig …
Unifying the connections between the trigonometric and hyperbolic …
Jan 25, 2021 · This can even be used to define the hyperbolic functions geometrically, and many authors do the same with the trigonometric functions. Sine and hyperbolic sine are odd, whereas …