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Wave Equation After Reflection

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What do the components of the following equation represent :

http://www.mediafire.com/view/?0we6f9jkw26qi9o

To be clear, this represents a wave of the form Acos(kx-wt) after being reflected off a wall.

I understand that the ∅ represents the phase change of the wave after hitting the wall. The wt is now positive instead of negative because it is travelling in the opposite direction.

Is this a correct description or have I missed something out ?

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