Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

student1988

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

  • one year ago
  • one year ago

  • This Question is Closed
  1. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352848428519:dw|

    • one year ago
  2. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    That's raised to the fourth power.. I got -4. Can someone tell me if i am correct? :)

    • one year ago
  3. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    how did you arrive at your answer?

    • one year ago
  4. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    Is it wrong? i used De Moivre's Theorem

    • one year ago
  5. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    so did you first convert it to the form \(e^{i\theta}\)?

    • one year ago
  6. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    but i wasn't sure if it was right because the complex number i disappeared!

    • one year ago
  7. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    Not sure what you mean by that

    • one year ago
  8. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    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 :)

    • one year ago
  9. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352848854469:dw|

    • one year ago
  10. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    i used this form

    • one year ago
  11. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

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

    • one year ago
  12. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    oh, i haven't seen this form. Could you tell me where I can read on this form?

    • one year ago
  13. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    it uses the identity:\[e^{i\theta}=\cos(\theta)+i\sin(\theta)\]

    • one year ago
  14. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    See here: http://en.wikipedia.org/wiki/Euler%27s_identity

    • one year ago
  15. student1988
    Best Response
    You've already chosen the best response.
    Medals 0

    Euler's Formula. Thanks, i'll read it! Thank you! :)

    • one year ago
  16. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry - wrong link, I meant this one: http://en.wikipedia.org/wiki/Euler%27s_formula

    • one year ago
  17. asnaseer
    Best Response
    You've already chosen the best response.
    Medals 1

    yup - you got it!

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.