Question

For a complex number written in polar form, its representation is unique as long as the argument is restricted to [0,2π).
True or false?

Answer 1

This one is a little tricky, but not too bad.The way polar form locates complex numbers is by giving you a radius and an angle like this:

Answer 2

This will always be unique as long as we don't "wrap around" more than once with our angles. Like this: