But don’t worry, Python has got you covered (literally).

If you’ve ever taken a math class beyond algebra, then you probably remember that complex numbers are made up of two distinct components: the real part and the imaginary part. And if you thought dealing with regular numbers was tough, just wait until you try to add or subtract these bad boys! Don’t Worry, because Python has built-in support for them (finally).

To create a complex number in Python, all you have to do is write the real part, followed by a plus sign, and then the imaginary part with an “i” or “j” at the end. For example:

# Creating a complex number in Python
# using the real and imaginary parts
# and printing it

# Assigning a complex number to the variable n
n = 3 + 4j

# Printing the complex number
print(n)

# Output: (3+4j)

# The "j" at the end indicates that the number is imaginary
# and the "3" is the real part of the complex number
# The "+" sign is used to separate the real and imaginary parts
# and the "4" is the imaginary part of the complex number

This will output something like `(3+4j)`. Don’t worry if it looks a little weird Python just likes to wrap complex numbers in parentheses for clarity.

But what about those ***** imaginary parts? How do you access them? Well, that’s where the .real and .imag properties come in handy! These properties return the real and imaginary components of your complex number as floats (even if they were specified as integers).

# This script demonstrates how to access the real and imaginary components of a complex number using the .real and .imag properties.

# First, we create a complex number with a real component of 3 and an imaginary component of 4.
n = 3 + 4j

# We can use the print() function to output the real component of n.
print(n.real) # Output: 3

# Similarly, we can use the print() function to output the imaginary component of n.
print(n.imag) # Output: 4

# The .real and .imag properties return the real and imaginary components of a complex number as floats, even if they were specified as integers.

Pretty cool, right? And that’s just the tip of the iceberg! Python also has a built-in cmath module (short for complex math) that provides additional functions and constants related to complex numbers. For example, you can use the `cmath.sqrt()` function to calculate the square root of a complex number:

# Import the cmath module to access complex math functions and constants
import cmath

# Define a complex number x with real part 4 and imaginary part 3
x = 4 + 3j

# Use the cmath.sqrt() function to calculate the square root of x
y = cmath.sqrt(x)

# Print the result of the square root calculation
print(y) # Output: (1.87266505049817+0.525555555555555j)

# The cmath.sqrt() function returns a complex number as the square root of a complex number can also be complex
# The output is in the form of (real part + imaginary part j)

And that’s it! With Python, you can elegantly express mathematical formulas involving complex numbers without much boilerplate syntax standing in the way. So go ahead and start solving those practical problems with complex numbers your math teacher would be proud (or maybe just confused).