A transverse periodic wave is represented by the equation y(x, t) = A1 sin(wt - kx). Another transverse wave is represented by the equation y(x, t) = A2 sin(wt + kx). What is the equation that represents the superposition of the two waves? ● ● ● ● y(x, t) = (A1 + A2) sin(wt) cos(kx) + (+A1 + A2) cos(wt) sin(kx) y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 - A2) cos(wt) sin(kx) y(x, t) = (A1 - A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt) sin(kx) y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt) sin(kx)
A transverse periodic wave is represented by the equation y(x, t) = A1 sin(wt - kx). Another transverse wave is represented by the equation y(x, t) = A2 sin(wt + kx). What is the equation that represents the superposition of the two waves? ● ● ● ● y(x, t) = (A1 + A2) sin(wt) cos(kx) + (+A1 + A2) cos(wt) sin(kx) y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 - A2) cos(wt) sin(kx) y(x, t) = (A1 - A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt) sin(kx) y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt) sin(kx)
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Transcribed Image Text:A transverse periodic wave is represented by the
equation y(x, t) = A1 sin(wt – kx). Another transverse
wave is represented by the equation y(x, t) = A2 sin(wt +
kx). What is the equation that represents the
superposition of the two waves?
●
●
●
y(x, t) = (A1 + A2) sin(wt) cos(kx) + (+A1 + A2) cos(wt)
sin(kx)
-
y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 – A2) cos(wt)
sin(kx)
y(x, t) = (A1 - A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt)
sin(kx)
y(x, t) = (A1 + A2) sin(wt) cos(kx) + (−A1 + A2) cos(wt)
sin(kx)
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