anonymous
  • anonymous
Plotting complex numbers?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Ive got , \[-5\sqrt{3} - \]
anonymous
  • anonymous
Plot them on an argand diagram, where the Y axis is in terms of i
anonymous
  • anonymous
I meant \[-5 \sqrt{3} -5i\] How do I plot the sqrt 3?

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anonymous
  • anonymous
One sec, I got to look something up
anonymous
  • anonymous
so, -5(root)3 would be your x coordinate then -5i would be your y
anonymous
  • anonymous
I guess you just have to work out roughly where -5(root)3 would be on your x axis
anonymous
  • anonymous
it's going to be at about -8.5
anonymous
  • anonymous
Alright, & -5i means its gonna be on the y axis right?
anonymous
  • anonymous
Yeah, -5i is on the y axis, however, the Y acis on an argand diagram is actually in terms of i
ZeHanz
  • ZeHanz
You can use the fact that there is a 30-60-90 triangle involved. This means you can find the point exactly. Sound a bit complicated, so I'll try to make a drawing... (just hold on a sec!)
anonymous
  • anonymous
30-60-90 triangle? O_O
ZeHanz
  • ZeHanz
Here is what I mean: (It is drawn as point D)
1 Attachment
ZeHanz
  • ZeHanz
The circle has a radius 10.
anonymous
  • anonymous
Ah Ok, I get it.!
ZeHanz
  • ZeHanz
You can recognise it by the combination of numbers, e.g. 2+2√3 i, or 5√3-5i...
anonymous
  • anonymous
Got it
ZeHanz
  • ZeHanz
Nice!
ZeHanz
  • ZeHanz
(Don't mean to be rude, but this image could also help - even if you already understand ;) )
1 Attachment
anonymous
  • anonymous
How would I plot 2 + i ? Would it make the 2 on the y axis also?
ZeHanz
  • ZeHanz
2 to the right, 1 up: a+bi corresponds to point (a, b)...
anonymous
  • anonymous
Alrighty, thank you.!

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