Math.tanh()

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

𝙼𝚊𝚝𝚑.𝚝𝚊𝚗𝚑 ( 𝚡 ) = tanh ( x ) = sinh ( x ) cosh ( x ) = e x e x e x + e x = e 2 x 1 e 2 x + 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}

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Syntax

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

Specification
ECMAScript Language Specification
# sec-math.tanh

Browser compatibility

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See also