In this post I’ll be proving why:

Let’s say that:

And also that:

This would imply that:

Now if we multiply and together, we get:

Which is thanks to what we know about **trigonometric identities**.

As we can see above, we’ve formed another complex number:

And this is in the form of:

And because of the rules of complex numbers, we can say that:

Hence, we have our proof.