Divide Polar Form: Solve 5∠2.214/√5∠-1.107

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Homework Help Overview

The problem involves dividing two complex numbers expressed in polar form: (5∠2.214)/(√5∠-1.107). The original poster seeks clarification on how to simplify this expression, specifically regarding the division of the angles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of dividing the magnitudes and subtracting the angles. There is also a mention of a related problem involving the expression (1+2j)^2/(1-2j) and a request for confirmation on the polar form.

Discussion Status

The discussion is ongoing, with participants exploring the correctness of angle calculations and quadrant considerations. Some guidance has been offered regarding the method of dividing angles, but no consensus has been reached on the specific angle values or their implications.

Contextual Notes

There is mention of potential co-terminal angles and quadrant issues, indicating that participants are considering the implications of angle placement in polar coordinates. The original poster expresses uncertainty about the angle derived from their calculator.

pat666
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Homework Statement


(5∠2.214)/(√5∠-1.107)
ive gotten this far in a problem(thats the answer but i need to simplify).. all i need to know is how to divide the angles?


Homework Equations





The Attempt at a Solution

 
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pat666 said:

Homework Statement


(5∠2.214)/(√5∠-1.107)
ive gotten this far in a problem(thats the answer but i need to simplify).. all i need to know is how to divide the angles?


Homework Equations





The Attempt at a Solution

Divide the magnitudes and subtract the angles.
 
so that would be sqrt(5) L3.32145... could you take a look at the original problem and tell me if I am right...(1+2j)^2/(1-2j) they wanted the solution in polar.
 
thanks i just wasnt sure about the angle, my calculator says it should be 0.1799, probably co-terminal or in a different quadrant or something?
 
Different quadrant - third quadrant. If you used arctan, you'll get an angle in the first or fourth quadrant.
 

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