I'm trying to get a 180 degrees phase shifted waves that effectively cancels the sound if mixed with or played in sync with?
Please limit the answers to sox, the 'Swiss Army knife of sound processing programs'.
You can use the -v option combined with a negative value. Using -1 you'll get a new signal you are looking for.
As an example, you could synthesize a cosine signal:
sox -n cos.wav synth 3 sine 500
and then change its phase using the -v option:
sox -v -1 cos.wav sin.wav
If you then combine the 2 signal together
sox -m cos.wav sin.wav sum.wav
you'll see you have obtained a null signal