Destructive intereference in a wave

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To achieve complete destructive interference in a wave, the phase difference must be an odd multiple of pi. The user initially attempted solutions involving 0 + pi*n and 0 + 3pi*n but found them incorrect. They are considering the phase shift of pi + 2*pi*n as a potential solution. The discussion highlights the need for clarity on phase relationships in wave interference. Seeking confirmation before submission indicates uncertainty in the approach to the problem.
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Homework Statement



wtf.jpg

Homework Equations



None really.

The Attempt at a Solution



I know that to make a wave completely destructive to the original I'd have to add pi, so I tried the answer 0+pi*n, which was wrong. I also tried 0 + 3pi*n, which would shift the wave to another destructive position but that wasn't correct either. Would any of you guys know what I'm doing wrong or overlooking? Thanks a lot!

I'm thinking that it may be pi + 2*pi*n, but I want to get some opinions before I try submitting.
 
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