Final answer:
The equation y(x,t)=acos2πf(xv-t) can be written as y(x,t)=acos[2πλ(x-vt)]. This statement is true.
Step-by-step explanation:
The equation y(x,t)=acos2πf(xv-t) can be written as y(x,t)=acos[2πλ(x-vt)].
This statement is true.
Both equations are the same, just using different variables. In the first equation, f represents the frequency, while in the second equation, λ represents the wavelength. Since wavelength and frequency are related by the equation v = fλ, where v is the wave velocity, we can see that both equations are equivalent.