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  1. Web
  2. JavaScript
  3. Reference
  4. Standard built-in objects
  5. Math
  6. acosh()

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.

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

x1,𝙼𝚊𝚝𝚑.𝚊𝚌𝚘𝚜𝚑(𝚡)=arcosh(x)=the unique y0 such that cosh(y)=x=ln(x+x21)\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

console.log(Math.acosh(0.999999999999));// Expected output: NaNconsole.log(Math.acosh(1));// Expected output: 0console.log(Math.acosh(2));// Expected output: 1.3169578969248166console.log(Math.acosh(2.5));// Expected output: 1.566799236972411

Syntax

js
Math.acosh(x)

Parameters

x

A number greater than or equal to 1.

Return value

The inverse hyperbolic cosine ofx. Ifx is less than 1, returnsNaN.

Description

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

Examples

Using Math.acosh()

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

Specifications

Specification
ECMAScript® 2026 Language Specification
# sec-math.acosh

Browser compatibility

See also

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