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46 lines
1021 B
Markdown
46 lines
1021 B
Markdown
# Function tanh
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Calculate the hyperbolic tangent of a value,
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defined as `tanh(x) = (exp(2 * x) - 1) / (exp(2 * x) + 1)`.
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For matrices, the function is evaluated element wise.
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## Syntax
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```js
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math.tanh(x)
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```
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### Parameters
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Parameter | Type | Description
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--------- | ---- | -----------
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`x` | Number | BigNumber | Boolean | Complex | Unit | Array | Matrix | null | Function input
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### Returns
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Type | Description
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---- | -----------
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Number | BigNumber | Complex | Array | Matrix | Hyperbolic tangent of x
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## Examples
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```js
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// tanh(x) = sinh(x) / cosh(x) = 1 / coth(x)
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math.tanh(0.5); // returns 0.46211715726000974
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math.sinh(0.5) / math.cosh(0.5); // returns 0.46211715726000974
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1 / math.coth(0.5); // returns 0.46211715726000974
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```
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## See also
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[sinh](sinh.md),
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[cosh](cosh.md),
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[coth](coth.md)
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