To see how two traveling waves of the same frequency create a standing wave.

o see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y1(x,t)=Asin(kx−ωt). This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves.

Find ye(x) and yt(t). Keep in mind that yt(t) should be a trigonometric function of unit amplitude.
Express your answers in terms of A, k, x, ?, and t. Separate the two functions with a comma.?

Answer:

yt(t) = cos(wt)

ye(t) = 2*A*sin(kx)

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