Results 1 to 4 of 4

Math Help - putting complex numbers into form x+yj

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    8

    putting complex numbers into form x+yj

    p
    Last edited by philyc86; November 7th 2008 at 08:27 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Aug 2008
    Posts
    903
    \frac{z-1}{z}=-\frac{i}{1-i}=1/2(1+i);\quad z=1-i

    \sqrt{1/2(1+i)}=\frac{1}{\sqrt{2}}\sqrt{1+i}

    =\frac{1}{\sqrt{2}} 2^{1/4}e^{i/2(\Theta+2k\pi)}

    then:

    r_1=2^{-1/4}e^{\pi i/8}

    r_2=2^{-1/4}e^{9\pi i/8}

    Now you can separate out the real and imaginary components using Euler's formula.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    8
    o
    Last edited by philyc86; November 7th 2008 at 08:28 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Aug 2008
    Posts
    903
    Ok, sorry. I made a mistake. It's:

    -\frac{i}{1-i}\left(\frac{1+i}{1+i}\right)=-\frac{i(1+i)}{2}=\frac{1-i}{2}

    Also, Euler's Formula is e^{a+ix}=e^a(\cos(x)+i\sin(x)) and that's how you separate the real and imaginary components out if the number is in exponential form.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: August 31st 2011, 10:51 AM
  2. Putting the equation of a conic into standard form
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 24th 2011, 09:28 PM
  3. Replies: 5
    Last Post: April 8th 2010, 04:23 AM
  4. Need help putting proof into proper form
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: June 30th 2008, 11:49 AM
  5. complex numbers in polar form
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: May 8th 2008, 05:00 AM

Search Tags


/mathhelpforum @mathhelpforum