# numpy.tanh() in Python

numpy.tanh(x[, out]) = ufunc ‘tanh’) : This mathematical function helps user to calculate hyperbolic tangent for all x(being the array elements).

Equivalent to `np.sinh(x) / np.cosh(x) or -1j * np.tan(1j*x)`.

Parameters :

array : [array_like] elements are in radians.

Return : An array with hyperbolic tangent of x for all x i.e. array elements

Code #1 : Working

 `# Python3 program explaining ` `# tanh() function ` ` `  `import` `numpy as np ` `import` `math ` ` `  `in_array ``=` `[``0``, math.pi ``/` `2``, np.pi ``/` `3``, np.pi] ` `print` `(``"Input array : \n"``, in_array) ` ` `  `tanh_Values ``=` `np.tanh(in_array) ` `print` `(``"\nTangent Hyperbolic values : \n"``, tanh_Values) `

Output :

```Input array :
[0, 1.5707963267948966, 1.0471975511965976, 3.141592653589793]

Tangent Hyperbolic values :
[ 0.          0.91715234  0.78071444  0.99627208]
```

Code #2 : Graphical representation

 `# Python program showing Graphical ` `# representation of tanh() function ` `import` `numpy as np ` `import` `matplotlib.pyplot as plt ` ` `  `in_array ``=` `np.linspace(``-``np.pi, np.pi, ``12``) ` `out_array ``=` `np.tanh(in_array) ` ` `  `print``(``"in_array : "``, in_array) ` `print``(``"\nout_array : "``, out_array) ` ` `  `# red for numpy.tanh() ` `plt.plot(in_array, out_array, color ``=` `'red'``, marker ``=` `"o"``) ` `plt.title(``"numpy.tanh()"``) ` `plt.xlabel(``"X"``) ` `plt.ylabel(``"Y"``) ` `plt.show() `

Output :

```in_array :  [-3.14159265 -2.57039399 -1.99919533 -1.42799666 -0.856798   -0.28559933
0.28559933  0.856798    1.42799666  1.99919533  2.57039399  3.14159265]

out_array :  [-0.99627208 -0.98836197 -0.96397069 -0.89125532 -0.69460424 -0.27807943
0.27807943  0.69460424  0.89125532  0.96397069  0.98836197  0.99627208]```

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