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Homework Help: Expressing a complex number as an Exponent

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data
    Express as z = Re[Ae^(i([itex]\varpi[/itex] t+ [itex]\alpha[/itex])]
    1. z = cos([itex]\varpi[/itex] t - [itex]\pi[/itex]/3) - cos ([itex]\varpi[/itex]t)

    2. z= 2sin([itex]\varpi[/itex] t) + 3 cos ([itex]\varpi[/itex] t)

    3. sin([itex]\varpi[/itex] t ) - 2 cos ([itex]\varpi[/itex] t - [itex]\pi[/itex]/4) + cos ([itex]\varpi[/itex] t)

    2. Relevant equations
    I used cos A + cos B; A = (a2+b2)(1/2); and tan([itex]\theta[/itex]) = y/x

    3. The attempt at a solution
    I read the other doubt regarding nearly the same questions, and as much as i tried to figure it out, i couldnt understand how to separate the parts and arrive at the same answer as the textbook requires. Could you please show me in a few more steps. thank u
  2. jcsd
  3. Sep 20, 2011 #2
  4. Oct 24, 2011 #3
    Thanks a ton.. Sorry for the late reply, i finally was able to figure it out whew!
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