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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  = -3 + 3i

 

To find the value of r:  r  =  sqrt( (-3)2 + (3)2 )  =  sqrt( 9 + 9 )  =  sqrt(18)  =  3sqrt(2)

 

To find the angle:  tan-1( 3 / -3 )  =  tan-1( -1 )  =  3pi / 4       [remember that it is in the second quadrant]

 

3sqrt(2) cis( 3pi/4)    

 Apr 30, 2020

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