To find the tangent of a number (in radians), we can use the Python **tan()** function from the math module.

```
import math
math.tan(x)
```

In Python, we can easily use trigonometric functions with the Python math module. The Python math module allows us to perform trigonometry easily.

With the Python math module, we can find the tangent of a number easily.

To find the tangent of a number, or the sine divided by the cosine of an angle, in radians, we use the math **tan()** function.

Below is the Python syntax to find the tangent of a number.

```
import math
math.tan(x)
```

The input to the **tan()** function must be a numeric value. The return value will be a numeric value between negative infinity and infinity.

```
import math
print(math.tan(math.pi/3))
print(math.tan(0))
print(math.tan(math.pi/2))
#Output:
1.7320508075688767
0.0
1.633123935319537e+16
```

## Converting Degrees to Radians for Input into tan()

The **tan()** function takes a number in radians as input. If your data is in degrees, you will need to convert the values to radians.

The Python math module has a useful function to convert degrees to radians, the math **radians()** function.

If we have a value in degrees, we can use **radians()** to convert the value to radians and then pass it to the **tan()** function.

```
import math
print(math.tan(math.radians(60)))
print(math.tan(0))
print(math.tan(math.radians(90)))
#Output:
1.7320508075688767
0.0
1.633123935319537e+16
```

## Finding the Inverse Tangent of a Number in Python

The Python math module also provides us trigonometric functions to find the inverses of the common trigonometric functions. The atan() function allows us to find the inverse of the tangent of a number.

Below, we show that if we pass a number to **tan()** and then call the Python **atan()** function, we get back the same number.

```
import math
print(math.acos(math.cos(math.pi/3)))
print(math.pi/3)
#Output:
1.0471975511965976
1.0471975511965976
```

## Finding the Cotangent of a Number in Python

To find the cotangent of a number, we can divide 1 by the tangent of the number.

We can find the cotangent of a number easily with the Python **tan()** function. You can see how to find the cotangent of a number in the following Python code.

```
import math
print(1/math.tan(math.pi/3))
#Output:
0.577350269189626
```

Hopefully this article has been beneficial for you to understand how to use the math **tan()** function in Python to find the tangent of a number.

## Leave a Reply