Convert the complex number 3 + 3i into its polar representation.

Step-by-step explanation:

The given complex number is:

First of all, we find the modulus of the complex number.

Given a complex number written in the form

The modulus is given by

Here we have:

a = 3

b = 3

So the modulus is

Now we find the argument. The argument is given by the equation:

In this case,

a = 3

b = 3

So the argument is:

So we can rewrite the complex number using polar representation as:

So