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Python – math.atanh() function
• Last Updated : 28 May, 2020

Math module contains a number of functions which is used for mathematical operations. The math.atanh() function returns the hyperbolic arctangent of a number as a value. The value passed in this function should be between -0.99 to 0.99.

Syntax: math.atanh(x)

Parameter:This method accepts only single parameters.

• x :This parameter is the value to be passed to atanh()

Returns:This function returns the hyperbolic arctangent of a number as a value.

Below examples illustrate the use of above function:

Example 1:

 `# Python code to implement``# the atanh()function``  ` `# importing "math"``# for mathematical operations  ``import` `math   `` ` `# Return the hyperbolic arctangent of numbers ``print` `(math.asinh(``0.17``))``print` `(math.asinh(``0.56``))``print` `(math.asinh(``0.245``))``print` `(math.asinh(``-``0.3445``))  `

Output:

```0.1691916359351954
0.5342240739536623
0.24261291139707475
-0.33802589861247084
```

Example 2:

 `# Python code to implement``# the atanh()function``import` `math ``import` `numpy as np ``import` `matplotlib.pyplot as plt  ``    ` `in_array ``=` `np.linspace(``-``np.pi ``/` `3.5``, np.pi ``/` `3.5``, ``10``)  `` ` `print``(``"Input_Array : \n"``, in_array)`` ` `out_array ``=` `[] ``    ` `for` `i ``in` `range``(``len``(in_array)): ``    ``out_array.append(math.atanh(in_array[i])) ``    ``i ``+``=` `1``    ` `print``(``"\nOutput_Array : \n"``, out_array)   ``  ` `plt.plot(in_array, out_array, ``"go:"``)  ``plt.title(``"math.atanh()"``)  ``plt.xlabel(``"X"``)  ``plt.ylabel(``"Y"``)  ``plt.show()  `

Output:

```Input_Array :
[-0.8975979 -0.6981317 -0.4986655 -0.2991993 -0.0997331  0.0997331
0.2991993  0.4986655  0.6981317  0.8975979]

Output_Array :
[-1.459718446245292, -0.8636465496349238, -0.547528391492765, -0.30863994644251713, -0.10006575914805733, 0.10006575914805743, 0.30863994644251724, 0.5475283914927653, 0.863646549634924, 1.459718446245292]
```

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