Sinh function

From Graphic maths
Level: A Level Maths

The sinh function is a hyperbolic function.

Equation and graph

The sinh function is defined as:

Here is a graph of the function:

Sinh-graph.png

sinh as average of two exponentials

The sinh function can be interpreted as the average of two functions, and . This animation illustrates this:

Sinh-graph-exp.gif

Other forms of the equation

If we multiply the top and bottom of the original equation for the sinh function by we get

Alternatively, if we multiply the top and bottom of the original equation for the sinh function by we get

See also