Question

Please check my answer.

True or false: As long as its argument is restricted to [0, 2pi), the polar from of a complex number is unique.

My answer is TRUE.

Answer 1

Let's say we had the polar point (r,theta) = (3,45)

Answer 2

we can represent that point as (r,theta) = (-3,225)

notice how 45+180 = 225

you basically face the 225 degree direction, then walk backwards 3 units to land on the same point