Math.acosh()

Baseline Widely available

This feature is well established and works across many devices and browser versions. It’s been available across browsers since July 2015.

The Math.acosh() static method returns the inverse hyperbolic cosine of a number. That is,

∀ x ≥ 1 , 𝙼𝚊𝚝𝚑.𝚊𝚌𝚘𝚜𝚑 ( 𝚡 ) = arcosh ( x ) = the unique  y ≥ 0  such that  cosh ( y ) = x = ln ( x + x 2 − 1 ) \begin{aligned}\forall x \geq 1,\;\mathtt{\operatorname{Math.acosh}(x)} &= \operatorname{arcosh}(x) = \text{the unique } y \geq 0 \text{ such that } \cosh(y) = x\\&= \ln\left(x + \sqrt{x^2 - 1}\right)\end{aligned}

Try it

Syntax

js
Math.acosh(x)

Parameters

x

A number greater than or equal to 1.

Return value

The inverse hyperbolic cosine of x. If x is less than 1, returns NaN.

Description

Because acosh() is a static method of Math, you always use it as Math.acosh(), rather than as a method of a Math object you created (Math is no constructor).

Examples

Using Math.acosh()

js
Math.acosh(0); // NaN
Math.acosh(1); // 0
Math.acosh(2); // 1.3169578969248166
Math.acosh(Infinity); // Infinity

Specifications

Specification
ECMAScript Language Specification
# sec-math.acosh

Browser compatibility

BCD tables only load in the browser

See also