where are hyperbolic functions used in a job?

Question

i just want to know where would i use it, like in what job or situation.

Answer 1

They occur in some of the darnest places. Fluid dynamics, optics, heat, mechanical, etc.

Answer 2

If you wanted to build the St. Louis Memorial Arch out of material with a uniform density (same mass per unit length), then you'd use the (inverted) equation of the catenary (a hanging uniform chain).

The equation for the latter has the form:

y = a [cosh (x/b) -1] --- with x = y = 0 at the lowest point;
the inverted thing will have y = h [1 - cosh (x/b)] with
y = h at the top.

Of course, the Arch ISN'T uniform, so the shape is not a
true inverted catenary; but it could fool you if you didn't
make careful measurements.

Answer 3

About the best place I can think of is in astronomy when dealing with the curvature of light in the presence of black holes.

Black holes have such a great gravitational pull that they can bend light towards them. This three dimensional curvature can be expressed as a hyperboloid, where

x^2/a^2 + y^2/b^2 - z^2/c^2 = 1,

in that the center of the black hole is located in (x,y,z) = (0,0,0), and the light curvature looks like an hour glass shape with the most curvature towards the center of the black hole.

Answer 4

The job most likely to use them is engineering, such as electrical or mechanical.