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


1