cosh

The hyperbolic cosine function.

Syntax

• cosh(x)

  • x is a real or complex number

Description

The hyperbolic cosine function is defined by

cosh(z) = [e^z + e^−z]/2

for all complex z.

Examples

cosh(0)

1

cosh(1)

1.54308063482

cosh(i)

0.540302305868

Notes

The graph of the hyperbolic cosine function is known as the “catenary”:

See also

• sinh

• cos

• arccosh