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Two Transverse Sinusoidal waves combine in a medium

  1. Jul 1, 2013 #1
    1. The problem statement, all variables and given/known data
    Two Transverse Sinusoidal waves combine in a medium are described by the wave functions:

    y1 = 3sin∏(x + 0.600t)

    y2 = 3sin∏(x - 0.600t)

    what is y1 + y2?

    2. Relevant equations
    the hint is that I am supposed to use:
    sin(α + β) = sin(α)cos(β) + cos(α)sin(β)



    3. The attempt at a solution
    the answer in the back is:
    y = y1 + y2 = 6sin(∏x)cos(0.600∏t)

    I am not really sure how they got that. In fact,the notation of y1 and y2 confuse me because y1 says:

    y1=3sin∏(x + 0.600t)

    and I interpret this as 3 multiplied by sin∏ multiplied by (x+0.600t)

    but the problem is sin∏ = 0, so don't both equations just reduce to 0?

    y1 = 0
    y2 = 0?

    Can someone clarify this for me?
     
  2. jcsd
  3. Jul 1, 2013 #2

    rude man

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    No. 3sin[π(x + 0.6t)] means "three times the sine of the angle π(x + 0.6t)".
     
  4. Jul 1, 2013 #3
    hmm.


    3sin[π(x + 0.6t)]

    it was written verbatim as:
    3sin∏(x + 0.600t)

    thanks, rude man.
     
    Last edited: Jul 1, 2013
  5. Jul 1, 2013 #4

    rude man

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    I just added the square brackets for emphasis for your benefit.

    Why would anyone write "sinπ" when that quantity is zero?
     
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