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# tanh

Hyperbolic tangent

Y = tanh(X)

## Description

The tanh function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

Y = tanh(X) returns the hyperbolic tangent of each element of X.

## Examples

expand all

### Graph Hyperbolic Tangent Function

Graph the hyperbolic tangent function over the domain .

```x = -5:0.01:5;
plot(x,tanh(x)), grid on
```

$\mathrm{tanh}\left(z\right)=\frac{\mathrm{sinh}\left(z\right)}{\mathrm{cosh}\left(z\right)}.$