Math.asinh()

The Math.asinh() function returns the inverse hyperbolic sine of a number. That is,

𝙼𝚊𝚝𝚑.𝚊𝚜𝚒𝚗𝚑 ( 𝚡 ) = arsinh ( x ) = the unique  y  such that  sinh ( y ) = x = ln ( x + x 2 + 1 ) \begin{aligned}\mathtt{\operatorname{Math.asinh}(x)} &= \operatorname{arsinh}(x) = \text{the unique } y \text{ such that } \sinh(y) = x \&= \ln\left(x + \sqrt{x^2 + 1}\right)\end{aligned}

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Syntax

Math.asinh(x)

Parameters

x

A number.

Return value

The inverse hyperbolic sine of x.

Description

Because asinh() is a static method of Math, you always use it as Math.asinh(), rather than as a method of a Math object you created (Math is not a constructor).

Examples

Using Math.asinh()

Math.asinh(-Infinity); // -Infinity
Math.asinh(-1); // -0.881373587019543
Math.asinh(-0); // -0
Math.asinh(0); // 0
Math.asinh(1); // 0.881373587019543
Math.asinh(Infinity); // Infinity

Specifications

Specification
ECMAScript Language Specification
# sec-math.asinh

Browser compatibility

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See also