In Excel, the hyperbolic functionsCOSH,SINH, andTANHall take a number representing a hyperbolic angle as input.

Dividing by two makes the area of a hyperbolic angle equal to that of a circular angle.

For example, the geometry of the hyperbolic and circular functions for the angle a=1 is shown below.

The hyperbolic angle of one.

The hyperbolic angle of one.

The hyperbolic angle of one.

The hyperbolic angle of one.

The hyperbolic angle of one.

The point formed by a hyperbolic angle

The point formed by a negative hyperbolic angle

Area of a circular angle.

Hyperbolic vs. circular angle.

As a hyperbolic angle grows larger the corresponding point diverges towards inifinity.