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metadata
title: Math.acosh()
short-title: acosh()
slug: Web/JavaScript/Reference/Global_Objects/Math/acosh
page-type: javascript-static-method
browser-compat: javascript.builtins.Math.acosh
sidebar: jsref

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

βˆ€xβ‰₯1,π™ΌπšŠπšπš‘.πšŠπšŒπš˜πšœπš‘(𝚑)=arcosh(x)=the unique yβ‰₯0 such that cosh(y)=x=ln(x+x2βˆ’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()")}}

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

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