Solving Superposition Problem: Find a3 and Bint

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The discussion focuses on solving the superposition problem of two harmonic waves represented by the equations u1 = B * sin(a1(r)) and u2 = B * sin(a2(r)). The goal is to find the resultant wave parameters a3 and Bint for the combined wave uint = Bint * sin(a3(r)). Participants suggest utilizing trigonometric identities related to the addition of sine functions to derive the necessary parameters, emphasizing that the "int" subscript likely refers to intensity and that the waves do not depend on time.

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The superposition of two harmonic waves:
u1 = B * sin( a1(r) )
u2 = B * sin( a2(r) )
results in a sinusoidal wave of the form:
uint = Bint * sin( a3(r) )
Find a3 and Bint

I'm not sure what to do. I can't think of any way to get it into that "form". http://scienceworld.wolfram.com/physics/Interference.html (5) on that link gives the form I would expect.
I think the "int" subscript is talking about intensity, and I'm not sure but I don't think either u1 or u2 depend on time.
Can anyone help?
 
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Try looking up some trig identities for sine functions. Is there one involving the addition of two sine waves and getting another sine wave with a phase shift?
 

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