Results 1 to 3 of 3

Math Help - Euler Formula..

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    156

    Euler Formula..

    Suppose you want to solve  \cos x + i \sin x = \text{cosh}(y-1) + ixy .

    Without resorting to graphs could we do the following:  e^{ix} = \frac{e^{y-1}+e^{1-y}}{2} + ixy ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Quote Originally Posted by manjohn12 View Post
    Suppose you want to solve  \cos x + i \sin x = \text{cosh}(y-1) + ixy .

    Without resorting to graphs could we do the following:  e^{ix} = \frac{e^{y-1}+e^{1-y}}{2} + ixy ?
    Yes
    But I don't think it's possible to solve it easily oO
    And maybe it's better to identify real and imaginary parts :

    cosh(y-1) is a real number. So cosh(y-1)=cos(x)
    and xy=sin(x)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2008
    Posts
    156
    So we have two cases:  x=0, \ x \neq 0 .
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Euler's formula
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 25th 2011, 01:12 PM
  2. Euler's Formula
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 12th 2010, 05:25 AM
  3. Euler's Formula
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 21st 2009, 09:50 PM
  4. Euler's Formula
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 7th 2008, 05:20 AM
  5. Euler's formula
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: April 13th 2008, 04:43 PM

Search Tags


/mathhelpforum @mathhelpforum