SOLUTION: express {{{5sqrt3 - 5i}}} in polar form. I have tried and tried but cannot come up with an answer for this problem - not one that matches the multiple choice list I was given, any

Algebra ->  Trigonometry-basics -> SOLUTION: express {{{5sqrt3 - 5i}}} in polar form. I have tried and tried but cannot come up with an answer for this problem - not one that matches the multiple choice list I was given, any      Log On


   



Question 598607: express 5sqrt3+-+5i in polar form.
I have tried and tried but cannot come up with an answer for this problem - not one that matches the multiple choice list I was given, anyways.
The given choices are
a: 10(cos 11pi/6 + i sin 11pi/6)
b: 10(cos 11pi/6 - i sin 11pi/6)
c: 5(cos 11pi/6 + i sin 11pi/6)
d: 10(cos 5pi/3 + i sin 5pi/3)
Please help me.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
express 5sqrt3+-+5i in polar form.
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r+=+sqrt%28%285sqrt%283%29%29%5E2+%2B+5%5E2%29+=+10
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Angle = arctan(-5/(5sqrt(3)) = -sqrt(3)/3
Angle = 11pi/6
--> 10(cos(11pi/6) + isin(11pi/6))