what is hyperbolic function?

Question

and, what does sinhx mean?

Answer 1

In mathematics, the hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. The basic hyperbolic functions are the hyperbolic sine "sinh", and the hyperbolic cosine "cosh", from which are derived the hyperbolic tangent "tanh", etc., in analogy to the derived trigonometric functions. The inverse functions are the inverse hyperbolic sine "arsinh" (also called "arсsinh" or "asinh") and so on.

Just as the points (cos t, sin t) define a circle, the points (cosh t, sinh t) define the right half of the equilateral hyperbola. Hyperbolic functions are also useful because they occur in the solutions of some simple linear differential equations, notably that defining the shape of a hanging cable, the catenary.

The hyperbolic functions take a real value for real argument called a hyperbolic angle. In complex analysis, they are simply algebraic functions of exponentials, and so are entire.

Answer 2

hypoebolic functions are functions of exp(x) and exp(-x) - they are closely related to trig functions as they share some same basic formulae.

sinh(x) is defined as (exp(x) - exp(-x)) /2

Answer 3

http://www.sosmath.com/trig/hyper/hyper01/hyper01.html

Answer 4

It is the button to take you to TRON.....that's a rare button.