Understanding Sound Interference

AI Thread Summary
The discussion revolves around sound interference and the mathematical representation of combined amplitude. The user initially struggles with plotting the amplitude function, expecting it to fluctuate between maximum and minimum values based on their calculations. Confusion arises from mixing radians and degrees in the sine and cosine functions, leading to incorrect graph behavior. Once the user corrects the angle measurement, the graph aligns with their predictions, confirming the expected interference patterns. The resolution highlights the importance of consistent angle units in sound interference calculations.
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I'm having trouble with the interference of sound. As the given function of the combined Amplidude A=2Acos(PI*d*sin(θ)/λ), hence the interfernce max will be d*sin(θ)=n*λ, and min will be d*sin(θ)=(n+1/2)*λ. I chose my sound frequency and wavelength. so I figule out the nth max and nth min, but when i tried to plot the graph of the combined Amplidude function, it's amplitude value is not going up and down as the angle increase(which I throught it would becasue the max and min) but just simply decrease from 0 to about 90 degree then it increase back up. so How do we know if it's a max or min, since it's all decreasing in a steady rate?
 
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I am not recognizing what you are doing here. What is the arrangement of the sound sources that are interfering?
 
Nevermind, I was finally figure out that cos is in radians and sin was in degree. Now my graph matches with my predictions. Thanks anyway
 
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