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Math.tanh()

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

𝙼𝚊𝚝𝚑.𝚝𝚊𝚗𝚑(𝚡)=tanh(x)=sinh(x)cosh(x)=exexex+ex=e2x1e2x+1\mathtt{\operatorname{Math.tanh}(x)} = \tanh(x) = \frac{\sinh(x)}{\cosh(x)} = \frac{\mathrm{e}^x - \mathrm{e}^{-x}}{\mathrm{e}^x + \mathrm{e}^{-x}} = \frac{\mathrm{e}^{2x} - 1}{\mathrm{e}^{2x}+1}

{{InteractiveExample("JavaScript Demo: Math.tanh()")}}

```js interactive-example console.log(Math.tanh(-1)); // Expected output: -0.7615941559557649

console.log(Math.tanh(0)); // Expected output: 0

console.log(Math.tanh(Infinity)); // Expected output: 1

console.log(Math.tanh(1)); // Expected output: 0.7615941559557649

## Syntax

```js-nolint
Math.tanh(x)

Parameters#

  • x
  • : A number.

Return value#

The hyperbolic tangent of x.

Description#

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

Examples#

Using Math.tanh()#

Math.tanh(-Infinity); // -1
Math.tanh(-0); // -0
Math.tanh(0); // 0
Math.tanh(1); // 0.7615941559557649
Math.tanh(Infinity); // 1

Specifications#

{{Specifications}}

Browser compatibility#

{{Compat}}

See also#

  • Polyfill of Math.tanh in core-js
  • {{jsxref("Math.acosh()")}}
  • {{jsxref("Math.asinh()")}}
  • {{jsxref("Math.atanh()")}}
  • {{jsxref("Math.cosh()")}}
  • {{jsxref("Math.sinh()")}}