Math.acosh()

The Math.acosh() function 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}

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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 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

Specification
ECMAScript Language Specification
# sec-math.acosh

Browser compatibility

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See also