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Math.atanh()

Baseline Widely available

This feature is well established and works across many devices and browser versions. It’s been available across browsers since ⁨July 2015⁩.

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

\begin{aligned} \forall x ∊ (- 1, 1), 𝙼𝚊𝚝𝚑.𝚊𝚝𝚊𝚗𝚑 (𝚡) & = artanh (x) = the unique y such that tanh (y) = x \\ = \frac{1}{2} ln (\frac{1 + x}{1 - x}) \end{aligned}

Try it

console.log(Math.atanh(-1));
// Expected output: -Infinity
console.log(Math.atanh(0));
// Expected output: 0
console.log(Math.atanh(0.5));
// Expected output: 0.549306144334055 (approximately)
console.log(Math.atanh(1));
// Expected output: Infinity

Syntax

Math.atanh(x)

Parameters

x: A number between -1 and 1, inclusive.

Math.atanh(-2); // NaN
Math.atanh(-1); // -Infinity
Math.atanh(-0); // -0
Math.atanh(0); // 0
Math.atanh(0.5); // 0.5493061443340548
Math.atanh(1); // Infinity
Math.atanh(2); // NaN