# numpy.tan() in Python

numpy.tan(array[, out]) = ufunc ‘tan’) : This mathematical function helps user to calculate trignometric tangent for all x(being the array elements).

Parameters :

```array    : [array_like]elements are in radians.
out      : [optional]shape same as array.
```
```2pi Radians = 360 degrees
tan(x) = sin(x) / cos(x)```

Return :

```An array with trignometric sine
of x for all x i.e. array elements
```

Code #1 : Working

 `# Python program explaining ` `# tan() function ` ` `  `import` `numpy as np ` `import` `math ` ` `  `in_array ``=` `[``0``, math.pi ``/` `4``, ``3``*``np.pi ``/` `2``, math.pi``/``6``] ` `print` `(``"Input array : \n"``, in_array) ` ` `  `tan_Values ``=` `np.tan(in_array) ` `print` `(``"\nTan values : \n"``, tan_Values) `

Output :

```Input array :
[0, 0.7853981633974483, 4.71238898038469, 0.5235987755982988]

Tan values :
[  0.00000000e+00   1.00000000e+00   5.44374645e+15   5.77350269e-01]
```

Code #2 : Graphical representation

 `# Python program showing ` `# Graphical representation of  ` `# tan() function ` ` `  `import` `numpy as np ` `import` `matplotlib.pyplot as plt ` ` `  `in_array ``=` `np.linspace(``0``, np.pi, ``12``) ` `out_array ``=` `np.tan(in_array) ` ` `  `print``(``"in_array : "``, in_array) ` `print``(``"\nout_array : "``, out_array) ` ` `  `# red for numpy.tan() ` `plt.plot(in_array, out_array, color ``=` `'red'``, marker ``=` `"o"``) ` `plt.title(``"numpy.tan()"``) ` `plt.xlabel(``"X"``) ` `plt.ylabel(``"Y"``) ` `plt.show() `

Output :

```
in_array :  [ 0.          0.28559933  0.57119866  0.856798    1.14239733  1.42799666
1.71359599  1.99919533  2.28479466  2.57039399  2.85599332  3.14159265]

out_array :  [  0.00000000e+00   2.93626493e-01   6.42660977e-01   1.15406152e+00
2.18969456e+00   6.95515277e+00  -6.95515277e+00  -2.18969456e+00
-1.15406152e+00  -6.42660977e-01  -2.93626493e-01  -1.22464680e-16]```

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