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Solnce55 [7]
3 years ago
14

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

egree.
z = 3 + 2i
Mathematics
2 answers:
Elanso [62]3 years ago
7 0
Rectangular form of z is z = 3 +  2i

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

In general if z = x + iy

r =  \sqrt{x^2 + y^2}

\theta = tan^{-1} \frac{y}{x}

So in given complex number z = 3 + 2i

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

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

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

vivado [14]3 years ago
5 0

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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