Write z = (1 – i) in polar form.
we have, z = (1 – i)
Let 1 = rcosθ and -1 = rsinθ
By squaring and adding, we get
(1)2 + (-1)2 = (rcosθ)2 + (rsinθ)2
⇒ 1+1 = r2(cos2θ + sin2θ)
⇒2 = r2
⇒ r = √2
Since, θ lies in fourth quadrant, we have
Thus, the required polar form is