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To find whether x(t) and y(t) signals are same?

  1. Jul 16, 2012 #1
    1. The problem statement, all variables and given/known data
    let x(t)=cos(ω1(t+τ1) +δ1) and sin (ω2(t+τ2) +δ2)
    determine whether both the signal are same for given data
    ω1=∏/3 , ω2=∏/3
    τ1=0 , τ1=1
    δ1=2∏ , δ1=-∏/3


    2. Relevant equations



    3. The attempt at a solution
    solution is as given-:
    as ω1=ω2,
    so
    ω1τ1+ δ1=ω2τ2+ δ2+2∏k where k is integer
    so x(t)=y(t)

    i did not understand how they can conclude like that?
     
  2. jcsd
  3. Jul 16, 2012 #2

    tiny-tim

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    hi amaresh92! :smile:

    i assume you mean …
    (try using the X2 button just above the Reply box :wink:)

    if they were both cos, that would be correct, but since one is cos and the other is sin, it would have to be

    ω1τ1+ δ12τ2+ δ2+2∏k - ∏/2 :confused:
     
  4. Jul 16, 2012 #3

    rude man

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    :redface:
    Oops.
    I agree. Now. :redface:
     
    Last edited: Jul 16, 2012
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