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student1988 Group Title

Write the expression in the standard form a + bi. (View my question to see it written, sorry for the inconvenience)

  • 2 years ago
  • 2 years ago

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  1. student1988 Group Title
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    |dw:1352848428519:dw|

    • 2 years ago
  2. student1988 Group Title
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    That's raised to the fourth power.. I got -4. Can someone tell me if i am correct? :)

    • 2 years ago
  3. asnaseer Group Title
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    how did you arrive at your answer?

    • 2 years ago
  4. student1988 Group Title
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    Is it wrong? i used De Moivre's Theorem

    • 2 years ago
  5. asnaseer Group Title
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    so did you first convert it to the form \(e^{i\theta}\)?

    • 2 years ago
  6. student1988 Group Title
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    but i wasn't sure if it was right because the complex number i disappeared!

    • 2 years ago
  7. student1988 Group Title
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    Not sure what you mean by that

    • 2 years ago
  8. asnaseer Group Title
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    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 :)

    • 2 years ago
  9. student1988 Group Title
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    |dw:1352848854469:dw|

    • 2 years ago
  10. student1988 Group Title
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    i used this form

    • 2 years ago
  11. asnaseer Group Title
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    the method I used was to first convert it as follows:\[(\sqrt{2}(\cos(3\pi/4)+i\sin(3\pi/4))^4=(\sqrt{2}e^{i3\pi/4})^4\]

    • 2 years ago
  12. student1988 Group Title
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    oh, i haven't seen this form. Could you tell me where I can read on this form?

    • 2 years ago
  13. asnaseer Group Title
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    it uses the identity:\[e^{i\theta}=\cos(\theta)+i\sin(\theta)\]

    • 2 years ago
  14. asnaseer Group Title
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    See here: http://en.wikipedia.org/wiki/Euler%27s_identity

    • 2 years ago
  15. student1988 Group Title
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    Euler's Formula. Thanks, i'll read it! Thank you! :)

    • 2 years ago
  16. asnaseer Group Title
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    Sorry - wrong link, I meant this one: http://en.wikipedia.org/wiki/Euler%27s_formula

    • 2 years ago
  17. asnaseer Group Title
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    yup - you got it!

    • 2 years ago
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