The equation for the standing wave is y = 4sin(3
p
t + 6
p
x) - 4sin(3
p
t - 6
p
x).
The trig. identity sin(x) - sin(y) = 2sin[(x-y)/2]cos[(x+y)/2] can be used to rewrite the wave equation as
y = 8sin(6
p
x)cos(3
p
t)
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