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## Homework Statement

What is the equation for the superposition of 2 waves?

## Homework Equations

## The Attempt at a Solution

Displacement of the first wave is D

_{1}= Asin(k

_{1}x - ω

_{1}t)

Displacement of second wave is D

_{2}= Asin(k

_{2}x - ω

_{2}t)

Add together: D

_{1}+ D

_{2}= 2Acos[(k

_{1}-k

_{2})x/2 - (ω

_{1}- ω

_{2})t/2]*sin[(k

_{1}+ k

_{2})x/2 - (ω

_{1}+ ω

_{2})t/2]

But this isn't in terms of what the problem is asking! Help, can the form be changed somehow?

Is there a way to reduce the k1 and k2 so that it is in that form?

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