# Python – math.tanh() function

Math module contains a number of functions which is used for mathematical operations. The math.tanh() function returns the hyperbolic tangent value of a number.

Syntax: math.tanh(x)

Parameter:This method accepts only single parameters.

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

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

Below examples illustrate the use of above function:

Example 1:

 `# Python code to implement ` `# the tanh()function ` `       `  `# importing "math" ` `# for mathematical operations   ` `import` `math   ` `      `  `a ``=` `math.pi ``/` `6` `       `  `# Return the hyperbolic cosine value of numbers  ` `print` `(math.tanh(``7``)) ` `print` `(math.tanh(``56``)) ` `print` `(math.tanh(``2.45``)) ` `print` `(math.tanh(``1``)) `

Output:

```0.9999983369439447
1.0
0.985216917311436
0.7615941559557649
```

Example 2:

 `# Python code implementation of  ` `# the tanh() function ` `import` `math  ` `import` `numpy as np  ` `import` `matplotlib.pyplot as plt   ` `    `  `in_array ``=` `np.linspace(``1``, np.pi``*``*``2``, ``30``)  ` `    `  `out_array ``=` `[]  ` `    `  `for` `i ``in` `range``(``len``(in_array)):  ` `    ``out_array.append(math.tanh(in_array[i]))  ` `    ``i ``+``=` `1` `     `  `print``(``"Input_Array : \n"``, in_array)   ` `print``(``"\nOutput_Array : \n"``, out_array)   ` `  `  `  `  `plt.plot(in_array, out_array, ``"go-"``)   ` `plt.title(``"math.tanh()"``)   ` `plt.xlabel(``"X"``)   ` `plt.ylabel(``"Y"``)   ` `plt.show()  `

Output:

```Input_Array :
[1.         1.30584843 1.61169686 1.91754528 2.22339371 2.52924214
2.83509057 3.14093899 3.44678742 3.75263585 4.05848428 4.3643327
4.67018113 4.97602956 5.28187799 5.58772641 5.89357484 6.19942327
6.5052717  6.81112012 7.11696855 7.42281698 7.72866541 8.03451384
8.34036226 8.64621069 8.95205912 9.25790755 9.56375597 9.8696044 ]

Output_Array :
[0.7615941559557649, 0.8632211720796424, 0.9234103903092679, 0.9577145746297974, 0.976839065640874,
0.9873698967991443, 0.9931292036581836, 0.9962672085447057, 0.9979734925362752, 0.9989002523578501,
0.9994033141272595, 0.9996762956932671, 0.9998244001772529, 0.9999047456204971, 0.9999483300729858,
0.999971972367574, 0.9999847968832987, 0.9999917533498457, 0.9999955267638955, 0.9999975735815636,
0.9999986838379343, 0.9999992860744392, 0.9999996127455353, 0.9999997899416726, 0.9999998860581267,
0.9999999381945465, 0.9999999664748882, 0.9999999818149847, 0.9999999901359082, 0.999999994649424]
```

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