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Trigonometric function and complex exponential

  1. Nov 8, 2012 #1
    1. The problem statement, all variables and given/known data
    - multiplication of trigonometric function and complex exponential




    2. Relevant equations
    the question is, Akcos(ωt) × e-jωt




    3. The attempt at a solution
    it is, Ak/2 + (Ak/2)e-j2ωt ?
    by using cos(ωt) = 1/2ejωt + 1/2e-jωt
     
  2. jcsd
  3. Nov 8, 2012 #2

    Dick

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    Looks ok to me.
     
  4. Nov 8, 2012 #3
    thanks!
    but if i want to convolute with some real function, f(x),
    can i just take a real part of
    Ak/2 + (Ak/2)e-j2ωt

    which is Ak/2 + (Ak/2)(2cos(ωt))?
     
  5. Nov 8, 2012 #4

    Dick

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    I hope you mean Ak/2 + (Ak/2)(cos(2ωt)). But what makes you think you can ignore the imaginary part?
     
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