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Math.acosh()

main Documentación oficial Licencia CC-BY-SA-2.5Descargado el 2026-08-02

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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+x2−1)\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}

{{InteractiveExample("JavaScript Demo: Math.acosh()")}}

```js interactive-example console.log(Math.acosh(0.999999999999)); // Expected output: NaN

console.log(Math.acosh(1)); // Expected output: 0

console.log(Math.acosh(2)); // Expected output: 1.3169578969248166

console.log(Math.acosh(2.5)); // Expected output: 1.566799236972411

## Syntax

```js-nolint
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 {{jsxref("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()#

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

Specifications#

{{Specifications}}

Browser compatibility#

{{Compat}}

See also#