Newbie here with question on Complex components

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    Complex Components
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Discussion Overview

The discussion revolves around a mathematical question related to complex numbers and their multiplication, specifically involving trigonometric functions and the Discrete Fourier Transform. Participants are exploring the steps needed to verify a given equation involving complex components.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the multiplication of two complex numbers and seeks assistance with the calculations.
  • Another participant questions whether the original problem statement provided was complete.
  • A participant provides a longer equation involving trigonometric functions and the Discrete Fourier Transform, leading to the complex numbers in question.
  • There is a suggestion to multiply out the brackets using the property that \(i^2 = -1\) and to collect real and imaginary terms.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants are still clarifying the problem and working through the calculations without resolving the initial confusion.

Contextual Notes

Some participants note difficulties in reading the equations due to formatting, which may affect the clarity of the discussion.

THAGONZ
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Hello all,

I am new here and very new to trig. I can't seem to figure out how this equation works out. I was wondering if someone could help me out with the long equation to get this answer. I know this is probably very simple to most of you but I am really stuck here...

Thanks in advance!(cos-isin)*(cos-isin)

(0.00179-i0.00358)*(0.29-i0.957) = -0.003-i0.003
 
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hi! (Wave) welcome to mhb. like your username.

was that all you were given in the question?
 
ineedhelpnow said:
hi! (Wave) welcome to mhb. like your username.

was that all you were given in the question?

Hi, Thank you for the reply..

It is actually a much longer equation...

$0.004[cos(-63.4^{\circ})+isin(-63.4^{\circ})]$=0.00179-i0.00358

then using Discrete Fourier Transform you get
$e-i2pi(29.84*10^6)*(1/5.12*10^6)*-7$= 0.29 – i0.957

so now I am trying to figure out how $(0.00179-i0.00358)*(0.29-i0.957)$ = -0.003-i0.003
 
Last edited:
but a dollar sign at the beginning of your equations and at the end. I am having some trouble reading it.
 
THAGONZ said:
so now I am trying to figure out how $(0.00179-i0.00358)*(0.29-i0.957)$ = -0.003-i0.003
Multiply out the brackets in the usual way (remembering that $i^2=-1$) and then collect the real and imaginary terms together. That gives $$(0.00179-i0.00358)*(0.29-i0.957) = 0.00179*0.29 + 0.00358*0.957 -i0.00179*0.957 - i0.00358*0.29.$$
 

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