The equation of a standing wave is obtained by adding the displacements of two waves traveling in

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The equation of a standing wave is obtained by adding the displacements of two waves traveling in opposite directions (see figure). Assume that each of the waves has amplitude A, period T, and wavelength λ. The models for two such waves are
х y = A cos 21-) and y, = A cos 27

Show that

2nt Y, + y2 = 24 cos 2лх cos cos
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