Hyperbolic Cosine Calculator

Discover the hyperbolic cosine of any number with our interactive tool. Enter a value and explore the cosh function visually.

Calculate Hyperbolic Cosine

Enter a number to calculate its hyperbolic cosine. Explore the graph and copy the result easily.

Enter Value:

cosh() ≈

Visualization

About Hyperbolic Cosine (cosh)

The hyperbolic cosine, denoted as cosh(x), is a hyperbolic function analogous to the cosine function in trigonometry, but defined using the hyperbola rather than the circle. It is expressed in terms of exponential functions as:

cosh(x) = (e^x + e^-x) / 2

The hyperbolic cosine function is always greater than or equal to 1. It is an even function, meaning cosh(x) = cosh(-x), and it increases as x moves away from 0 in either the positive or negative direction. Hyperbolic cosine functions appear in various areas of mathematics, physics, and engineering, such as in the study of catenaries (the shape of a hanging chain), heat transfer, and relativity. This calculator helps you quickly compute and visualize the hyperbolic cosine for any given input value.

Learn more about hyperbolic functions on Wikipedia or explore advanced mathematical concepts on MathWorld.