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Math.acosh()

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

Desktop Mobile Server
Chrome Edge Firefox Opera Safari Chrome Android Firefox for Android Opera Android Safari on IOS Samsung Internet WebView Android Deno Node.js
acosh 38 12 25 25 8 38 25 25 8 3.0 38 1.0 0.12.0

See also

© 2005–2023 MDN contributors.
Licensed under the Creative Commons Attribution-ShareAlike License v2.5 or later.
https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/acosh