Calculating Phase Difference and Zero Point of Two Sinusoidal Waves

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Homework Statement



Two sinusoidal waves in a string are defined by the functions
y1 = (2.00 cm) sin(20.0x – 32.0t) and
y2 = (2.00 cm) sin(25.0x – 40.0t) where y and x are in centimeters and t is in seconds.
(a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s?
(b) What is the positive x value closest to the origin for which the two phases differ by at t = 2.00 s? (This is where the two waves add to zero.)


Homework Equations





The Attempt at a Solution

 
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