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What is the complex number z=−3+3i represented in polar form? Enter the angle measure as the smallest positive angle in simplified form and any radicals in simplified form.

 

z=___cis(____)

 Apr 29, 2020
 #1
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z = r cis  θ

 

r = √[ (-3)^2 + 3^2 ]  =  √18  =  3√2

 

θ  =  arctan (  3/-3)  =  arctan (-1)  =  3pi/4

 

So

 

z = 3√2 cis  ( 3pi/4)

 

 

cool cool cool

 Apr 30, 2020

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