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Simplfy sinusoidal

  1. Mar 3, 2013 #1
    2sin(wot+45)+cis(wot) to Acos(wot)

    i convert it

    2e^-j45 = √2/2 - j√2/2
    1e^j0 = 1 - j0

    adding these up i get

    (√2/2 + 1) -j(√2/2)

    1.707 - j.707

    magnitude = √1.707²+.707² = 1.85

    angle = tan^-1(.707/1.707) = 22.5

    so i get 1.85cos(wot +22.5)

    while the book has the answer

    2.798cos(wot-30.36)
     
  2. jcsd
  3. Mar 3, 2013 #2
    nevermind i found my issue forgot to multiply the amplitude
     
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