anonymous
  • anonymous
Write the expression in the standard form a + bi. (View my question to see it written, sorry for the inconvenience)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1352848428519:dw|
anonymous
  • anonymous
That's raised to the fourth power.. I got -4. Can someone tell me if i am correct? :)
asnaseer
  • asnaseer
how did you arrive at your answer?

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anonymous
  • anonymous
Is it wrong? i used De Moivre's Theorem
asnaseer
  • asnaseer
so did you first convert it to the form \(e^{i\theta}\)?
anonymous
  • anonymous
but i wasn't sure if it was right because the complex number i disappeared!
anonymous
  • anonymous
Not sure what you mean by that
asnaseer
  • asnaseer
your answer is correct - I am just making sure you used this way of getting to the answer rather than trying to expand the braces with the fourth power :)
anonymous
  • anonymous
|dw:1352848854469:dw|
anonymous
  • anonymous
i used this form
asnaseer
  • asnaseer
the method I used was to first convert it as follows:\[(\sqrt{2}(\cos(3\pi/4)+i\sin(3\pi/4))^4=(\sqrt{2}e^{i3\pi/4})^4\]
anonymous
  • anonymous
oh, i haven't seen this form. Could you tell me where I can read on this form?
asnaseer
  • asnaseer
it uses the identity:\[e^{i\theta}=\cos(\theta)+i\sin(\theta)\]
asnaseer
  • asnaseer
See here: http://en.wikipedia.org/wiki/Euler%27s_identity
anonymous
  • anonymous
Euler's Formula. Thanks, i'll read it! Thank you! :)
asnaseer
  • asnaseer
Sorry - wrong link, I meant this one: http://en.wikipedia.org/wiki/Euler%27s_formula
asnaseer
  • asnaseer
yup - you got it!

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