Results 1 to 2 of 2

Math Help - Proof of Sine Addition Formula with complex numbers

  1. #1
    Newbie
    Joined
    Nov 2010
    Posts
    11

    Proof of Sine Addition Formula with complex numbers

    Hi there,

    I am stuck on a proof using complex numbers. I have tried almost everything but I seem to get nowhere. Here is the question .


    Let a,b be complex numbers. Prove that sin(a+b)= sinacosb + sinbcosa
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,649
    Thanks
    1597
    Awards
    1
    This is just a tedious problem.
    Use \sin (z) = \dfrac{{e^{iz}  - e^{ - iz} }}<br />
{{2i}}\;\& \,\cos (z) = \dfrac{{e^{iz}  + e^{ - iz} }}<br />
{2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex Formula Proof
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 20th 2010, 03:52 AM
  2. Complex numbers question (Addition)
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: July 20th 2010, 01:17 AM
  3. Replies: 2
    Last Post: December 21st 2009, 07:39 PM
  4. [SOLVED] Sine/Cosine Addition Formulae
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: April 16th 2009, 10:29 AM
  5. Addition of sine & cosine?
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: March 2nd 2009, 10:49 PM

Search Tags


/mathhelpforum @mathhelpforum