WHAT THE HELL ARE HYPOBOLIC FUNCTIONs???

Question

what the hell does cosh(x) supposed to mean?? Please give me an example, it will help me unerstand better.. like.. whats cosh(60) equal to??

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.

The hyperbolic functions are:

Hyperbolic sine, pronounced "shine" or "sinch":

Hyperbolic cosine, pronounced "cosh":

Hyperbolic tangent, pronounced "than" or "tanch":

Answer 2

Third Year (Special Degree) Subjects
... bounded on a closed interval, continuous functions on a closed interval taking ... trigonometric and hypobolic functions). Functions of several variables: Limits, ...cmb.ac.lk/academic/Science/Departments/Mathematics/...
Third Year (Special Degree) Subjects
... bounded on a closed interval, continuous functions on a closed interval taking ... trigonometric and hypobolic functions). Functions of several variables: Limits, ...cmb.ac.lk/academic/Science/Departments/Mathematics