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Rewrite the rectangular form of the complex number in its equivalent polar form. Approximate all angle measures to the nearest degree.

z = 3 + 2i

User LongLv
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Rectangular form of z is z = 3 + 2i

Polar form of complex number is (r ,
\theta).

In general if z = x + iy


r = √(x^2 + y^2)


\theta = tan^(-1) (y)/(x)

So in given complex number z = 3 + 2i

So r is

r = √((3)^2 + (2)^2)

= √(9 + 4 ) = √(13)


\theta = tan^(-1) ( (y)/(x)) = tan^(-1) ( (2)/(3)}

= 33.703 degree.

So the rectangular form is
( √(13) , 33.703 degree ).

User Mirekphd
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