A problem in polar i want check my answer

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Homework Help Overview

The discussion revolves around converting the complex number -3 - 5i into polar form. Participants are examining the calculations related to the modulus and argument of the complex number, as well as the correct representation in polar and exponential forms.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the calculation of the modulus and angle for the complex number. There are questions about the correctness of the angle derived and the representation of the answer in exponential form. Some participants are exploring the implications of using radians versus degrees in their calculations.

Discussion Status

There is an ongoing examination of the calculations presented, with some participants suggesting corrections to the angle and questioning the use of different forms of complex numbers. Clarifications are being sought regarding the calculations and assumptions made in the original post.

Contextual Notes

Participants note the importance of using radians for the calculations due to the integer nature of the components of the complex number. There is also mention of potential confusion regarding the tangent values used in the angle calculations.

r-soy
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write in polar form ...elc
-3 - 5i

my answer :

x = -3 y = - 5

r = root (-3)^2 + (-5)^2
= 5.83

tan Q = 5/3 = -1.12
tan-1 -1.12 = -0.84
Q = -0.84
Q = -pi + -0.84 = -3.981

Polar form = 5.83e^(-3.981)i
 
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Ok first off:
I believe you've recorded your answer in exponential form.

Forms of Complex Numbers:

[PLAIN]https://dl.dropbox.com/u/4645835/MATH/ComplexForms.gif

Please correct me if I'm wrong.
 
Last edited by a moderator:
I think your angle may be wrong as well. This is what I did:

[PLAIN]https://dl.dropbox.com/u/4645835/MATH/Ex1.gif

I can explain why I added 180 degrees to the angle I calculated - if needed.
 
Last edited by a moderator:
Hi

but as I know in this question we change calculator to ( Rad ) nor (deg) because we have integer number -3 and - 5 not roots or ,

and please I want explaine more because I don't understand clearly
 
r-soy said:
write in polar form ...elc
-3 - 5i

my answer :

x = -3 y = - 5

r = root (-3)^2 + (-5)^2
= 5.83

tan Q = 5/3 = -1.12
tan Q = 5/3, but 5/3 is not equal to -1.12
r-soy said:
tan-1 -1.12 = -0.84
Q = -0.84
Q = -pi + -0.84 = -3.981

Polar form = 5.83e^(-3.981)i
 

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