If I have a complex number z = 1 + root(3)i
Then changing it to polar form is z = r cis(11pi/6)
But my book does mention that the angle must lie between –pi and pi.
Using logic from circular trigonometry 11pi/6 = -pi/6
Therefore in polar form z = r cis(-pi/6) and not r cis(11pi/6) ?
What does this restriction on the angle represent?