Results 1 to 2 of 2

Math Help - Complex number in exponential form

  1. #1
    Member
    Joined
    Oct 2006
    Posts
    184
    Thanks
    1

    Complex number in exponential form

    I have one question here regarding complex number in exponential form,

    Is the following statement true?

    e^{i\frac{-\pi}{2}}=e^{i\frac{3\pi}{2}}

    Some ppl say that their power series are not equal, so the statement is wrong.

    But to me, it seems like they are equal, right?

    Anyone can clarify my doubt? Thanks!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by acc100jt View Post
    I have one question here regarding complex number in exponential form,

    Is the following statement true?

    e^{i\frac{-\pi}{2}}=e^{i\frac{3\pi}{2}}

    Some ppl say that their power series are not equal, so the statement is wrong.

    But to me, it seems like they are equal, right?

    Anyone can clarify my doubt? Thanks!!!

    Of course they're equal: for real \phi\,,\,\theta\,,\,\,e^{i\phi}=e^{i\theta}\iff \phi -\theta=2k\pi\,,\,k\in\mathbb{Z}.

    This follows at once from the definition of e^{ix}\,,\,x\in\mathbb{R} , and the periodicity of the trigonometric functions sine and cosine.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex Numbers in Exponential form
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 23rd 2011, 04:07 AM
  2. Fourier series - complex exponential form
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: September 10th 2010, 07:58 AM
  3. Complex number(exponential form)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 8th 2009, 02:35 AM
  4. Complex Exponential Form
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 31st 2009, 10:10 PM
  5. complex number exponential form
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: February 21st 2009, 09:42 AM

Search Tags


/mathhelpforum @mathhelpforum