Kenneth S. answered • 06/02/17

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Arturo O.

Elle,

In general, when given a complex number

z = x + iy,

the polar form is

z = re

^{iφ}where

r = √(x

^{2}+ y^{2}) [always positive]φ = tan

^{-1}(y/x) [Be careful with your selection of the quadrant for φ!]But if x = 0 (as in your posted problem), then

z = ye

^{iπ/2}This is true because the polar representation of i is

i = e

^{i}^{π/2}= cos(π/2) + i sin(π/2) = 0 + i(1) = i
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06/02/17

Elle G.

06/02/17