SOLUTION: WRITE THE FOLLOWING COMPLEX NUMBERS IN POLAR FORM: Sqrt{{7}}+sqrt{{21}}*i

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Question 1170503: WRITE THE FOLLOWING COMPLEX NUMBERS IN POLAR FORM:
Sqrt{{7}}+sqrt{{21}}*i

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

Given rectangular form



the polar form is



where  is taken in the same quadrant as .

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Given rectangular form

, which is in the first quadrant,

the polar form is



where the arctan is taken in the first quadrant.

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Simplifying





Since 

and  in the first quadrant is 

Answer:



Edwin

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