Which Wave Function Describes a Wave Moving in the -x Direction?

AI Thread Summary
The discussion focuses on identifying which wave functions describe waves moving in the -x direction. The wave functions provided are y(x,t) = Asin(-kx-wt), y(x,t) = Asin(kx+wt), and y(x,t) = Acos(kx+wt). It is noted that the second and third functions indicate leftward movement due to the positive phase term. The first function's behavior is clarified using the trigonometric identity sin(-x) = -sin(x), which helps determine its direction. Understanding these relationships is crucial for analyzing wave motion effectively.
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Homework Statement


which of the wave functions describe a wave that moves in the -x direction
y(x,t) =Asin(-kx-wt)
y(x,t)=Asin(kx+wt)
y(x,t)=Acos(kx+wt)


Homework Equations


wave function


The Attempt at a Solution


I know B and C both move left looking at the phase (kx+wt) because its +, however I have no idea about A. I don't know how to convert between sin and cosine or any knowledge of adding pi/2 or anything. can anyone explain this to me? Thank you
 
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A trig identity says sin(-x) = - sin(x). This should help.
 

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