anonymous
  • anonymous
Please help me solve the following sum on complex numbers:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
The three roots of a complex number z (z = 2-2i) are:\[\sqrt{2}cis(\frac{ -3\pi }{ 4 }), \sqrt{2}cis(\frac{ -\pi }{ 12 }), \sqrt{2}cis(\frac{ 7\pi }{ 12 })\]
anonymous
  • anonymous
These points (drawn on an argand diagram) represent the vertices of a triangle T (I know it's an equilateral triangle). Find the modulus and argument of each of the complex numbers which are represented by the MID-POINTS OF THE SIDES T.
anonymous
  • anonymous
I've found the arguments, but I don't know how to find the modulus.

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Yttrium
  • Yttrium
Do you need this right now? I need to out at this moment maybe I can help you tomorrow.
anonymous
  • anonymous
ohh, no worries.
anonymous
  • anonymous
well actually I haven't found the arguments, turns out I have no idea how to do this sum :P
.Sam.
  • .Sam.
What is 'cis'
anonymous
  • anonymous
cos x + isin x
anonymous
  • anonymous
|dw:1378919561462:dw|
anonymous
  • anonymous
|dw:1378919609058:dw|
.Sam.
  • .Sam.
Sorry I gotta go
phi
  • phi
the sum of the n roots will be zero
phi
  • phi
the mid points will be at (Z1+Z2)/2 , (Z2+Z3)/2 and (Z1+Z3)/2

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