# Numpy Tanh | Trigonometric Evaluation of Toolkit

The Numpy module of python is the toolkit. Because it is a function to perform various operations, these operations are high scientific computations in python. Numpy supports multiple dimensions. The toolkits work on them. An array in numpy can be one dimension and two, three, or higher. Thus we have a quick review. As of now, we will read about the numpy tanh. An easy function to use and understand the trigonometric functions.

Contents of Tutorial

## What Exactly is Numpy tanh?

This function is used to calculate the hyperbolic tangent for all the elements of the array passed as the argument. Here x(being the array elements).

Note: The numpy tanh compute hyperbolic tangent element-wise.

## Syntax Numpy tanh

The standard syntax of the Function numpy tanh is:

```numpy.tanh(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj]) = <ufunc 'tanh'>
```

Which is equivalent to in terms of mathematics

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

In other simple way the syntax of tanh can be written as:

`numpy.tanh(x[, out])`

## Parameters Used with numpy tanh:

#### x : array_like

This parameter isInput values whose square-roots have to be determined. In other words, it specifies the radicand. The radicand is the value under the radical when you compute the square root.

#### out

The ‘out’ keyword argument expects to be a tuple with one entry per output (which can be None for arrays to be allocated by the ufunc). The `out` parameter enables you to specify an array where the output will be stored. This parameter is not used in simpler calculations but at a higher level. This parameter provides a location to store the result. If provided, it must have a shape for the inputs broadcast. A freshly-allocated array returned if not provided or None. A tuple (possible only as a keyword argument) must have a length equal to the number of outputs.

#### where

This parameter Accepts a boolean array, which is broadcast together with the operands. Values of True indicate that to calculate the ufunc at that position and False values indicate to leave the value in the output alone. Generalized ufuncs cannot use this argument because those take non-scalar input.

#### order

This parameter specifies the calculation iteration order/memory layout output array. Defaults to ‘K.’ ‘C’ means the output should be C-contiguous, ‘F’ means F-contiguous, ‘A’ means F-contiguous if the inputs are F-contiguous and not also not C-contiguous

#### signature

This argument allows you to provide a specific signature for the 1-d loop to use in the underlying calculation. If the loop specified does not exist for the ufunc, then a TypeError is raised. Usually, a suitable loop is found automatically by comparing the input types with what is available and searching for a loop with data-types. The types attribute of the ufunc object provide a list of known signatures.

Still, there are more parameters to mention. But you do not need to know all. To know all we need to see the unfunc docs. So you would get an idea of all the parameters.

## Returning Value

As per NumPy.org, an array with the hyperbolic tangent of x for all x i.e. array elements. Which is basically the corresponding hyperbolic tangent values.

## When will Numpy tanh Return Value Error

ValueError: invalid return array shape

if `out` is provided and `out.shape` != `x.shape`

## Examples to Comprehend tanh

Now we import the module first

```import numpy as np
```

Now using numpy in a better way.

```import math

in_array = [0, math.pi / 2, np.pi / 3, np.pi]
print ("Input array : \n", in_array)
Input array :
[0, 1.5707963267948966, 1.0471975511965976, 3.141592653589793]
tanh_Values = np.tanh(in_array)
print ("\nTangent Hyperbolic values : \n", tanh_Values)
Tangent Hyperbolic values :
[ 0.          0.91715234  0.78071444  0.99627208]
```

Here we also used the dtype parameter to fix datatype. This example also shows that it retains the dimensionality of the original array.

```# Example of providing the optional output parameter illustrating
# that what is returned is a reference to said parameter
out1 = np.array([0], dtype='d')
out2 = np.tanh([0.1], out1)
out2 is out1
True
```

Now we will see graphical plotting of this

```in_array = np.linspace(-np.pi, np.pi, 12)
out_array = np.tanh(in_array)

print("in_array : ", in_array)
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]
print("\nout_array : ", out_array)
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]
# 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()
```

All the examples give the idea of using the function. Now you are ready to go.

## What’s Next?

NumPy is mighty and incredibly essential for information science in Python. That being true, if you are interested in data science in Python, you really ought to find out more about Python.

You might like our following tutorials on numpy.

## Real World Applications

1. Machine Learning
2. Neural Network

## Conclusion

In conclusion, the numpy tanh function is useful for hard calculations. Those computations can be of broader aspects—both primary and scientific as well.

Still have any doubts or questions, do let me know in the comment section below. I will try to help you as soon as possible.

Happy Pythoning!

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