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1. Martha makes an error converting the complex number to polar form. Where did she make her error? Determine the correct answer and explain what Martha did wrong.

 Apr 30, 2020
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r  =  √ [  (-5√3)^2  + 5^2 ]   =  √ [75 + 25 ] =  √100  =  10

 

θ  = arctan  ( 5 / [ -5√3]  =   -1 /√3   =    -pi/6

 

But  this point is in the second quadrant so  theta  = 5pi/6

 

-5√3  + 5i  =   10 [cos (5pi/6)  + i sin ( 5pi/6)  ]

 

 

cool cool cool

 Apr 30, 2020

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