# numpy.sinh() in Python

• Last Updated : 04 Dec, 2020

The numpy.sinh() is a mathematical function that helps user to calculate hyperbolic sine for all x(being the array elements).

Equivalent to 1/2 * (np.exp(x) – np.exp(-x)) or -1j * np.sin(1j*x).

Syntax: numpy.sinh(x[, out]) = ufunc ‘sin’)
Parameters :

array : [array_like] elements are in radians.

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

Code #1 : Working

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

Output :

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

Sine Hyperbolic values :
[  0.           2.3012989    1.24936705  11.54873936]
```

Code #2 : Graphical representation

 `# Python program showing Graphical``# representation of sinh() function``import` `numpy as np``import` `matplotlib.pyplot as plt`` ` `in_array ``=` `np.linspace(``-``np.pi, np.pi, ``12``)``out_array ``=` `np.sinh(in_array)`` ` `print``(``"in_array : "``, in_array)``print``(``"\nout_array : "``, out_array)`` ` `# red for numpy.sinh()``plt.plot(in_array, out_array, color ``=` `'red'``, marker ``=` `"o"``)``plt.title(``"numpy.sinh()"``)``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 :  [-11.54873936  -6.49723393  -3.62383424  -1.9652737   -0.96554336
-0.28949778   0.28949778   0.96554336   1.9652737    3.62383424
6.49723393  11.54873936]```

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