Q13 of 29 Page 5

Write z = 1 + i in the polar form.

Consider z = 1 + i,


r = |z|



= √2


Let α be the acute angle given by,




tan α = 1




As point (1,1) lies in the I quadrant.


∴ the argument of z is given by .


Hence polar form is:


z = r (cos θ + i sin θ)



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