Rewrite the rectangular form of the complex number in its equivalent polar form. Approximate all angle measures to the nearest degree.
z = 3 + 2i

Rectangular form of z is z = 3 + 2i

Polar form of complex number is (r , [tex]\theta[/tex]).

In general if z = x + iy

[tex]r = \sqrt{x^2 + y^2} [/tex]

[tex]\theta = tan^{-1} \frac{y}{x} [/tex]

So in given complex number z = 3 + 2i

So r is
[tex]r = \sqrt{(3)^2 + (2)^2} [/tex]
[tex]= \sqrt{9 + 4 } = \sqrt{13} [/tex]

[tex]\theta = tan^{-1} ( \frac{y}{x}) = tan^{-1} ( \frac{2}{3}} [/tex]
[tex]= 33.703[/tex] degree.

So the rectangular form is [tex]( \sqrt{13} , 33.703 [/tex] degree ).

kourtneypadgetpa12xj kourtneypadgetpa12xj · Answer 2 · 2020-04-03T05:39:38+02:00

kourtneypadgetpa12xj kourtneypadgetpa12xj

03-04-2020

My answers have two options with sqr root of 13. Of the two which could it be?

z=sqr rt of 13(cos56 + i sin56)

z=sqr rt of 13(cos34 + i sin34)

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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

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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