# Python – math.acosh() function

Math module contains a number of functions which is used for mathematical operations. The math.acosh() function returns the hyperbolic arc cosine value of a number. The value passed in this function should be greater than or equal to 1.

Syntax: math.acosh(x)

Parameter:This method accepts only single parameters.

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

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

Below examples illustrate the use of above function:

Example 1:

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

Output:

```2.6339157938496336
4.718419142372879
1.5447131178707394
0.0
```

Example 2:

 `# Python code implementation of  ` `# the acosh() 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.acosh(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.acosh()"``)   ` `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 :
[0.0, 0.7634351653684978, 1.0562772501126303, 1.2679873925813194, 1.4372757745859863,
1.5794735761470122, 1.7025573669627803, 1.8113067645313763, 1.9088495232436826,
1.997360544554533, 2.07842113836573, 2.1532211217708626, 2.2226804635542514,
2.287526464855001, 2.348344844358015, 2.405614746886384, 2.4597334430301796,
2.51103419200721, 2.559799438447933, 2.6062707446710016, 2.6506563890658725,
2.693137263795659, 2.7338715120762482, 2.7729982170653664, 2.8106403673544613,
2.8469072638299315, 2.8818964902724367, 2.9156955397451294, 2.9483831668303044,
2.9800305196125625]
```

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