Q. 275.0( 3 Votes )

Write z = (–1 + i) in polar form.

Answer :

we have, z = (–1 + i)

Let -1 = rcosθ and √3 = rsinθ


By squaring and adding, we get


(-1)2 + (√3)2 = (rcosθ)2 + (rsinθ)2


1+3 = r2(cos2θ + sin2θ)


4 = r2


r = 2



Since, θ lies in second quadrant, we have



Thus, the required polar form is


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