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**Here is the question:**

Transverse waves on a string have a wave speed of 8.00 m/s, amplitude of 0.0700m, and a wavelength of 0.320m. The waves travel in the -x direction, and at t=0, the end of the string (x=0) has its maximum upward displacement.

a)What is the frequency, period, and wave number of these waves?

b) Write a wave function describing the wave.

**This is what I got for part a (if something is wrong please let me know):**

frequency = f = v/λ = 8.00m/s / 0.320m = 25 Hz

period = T = 1/25 = 0.04 seconds

wave number = k = 2π/λ = 2pi/0320m = 19.635 rad/m

**Here is where I had a few problems, on part B:**

I know the equation is Y(x,t) = A*cos(kx + wt) for this particular problem, but I am having troubles determining when I should use sin and when I should use cos as the trig function in the problem. I also am not too sure what the difference would be if the function would be if it were traveling in the positive-x direction instead of the negative-x direction.

Could someone please explain these concepts to me so I can understand them? It would be greatly appreciated!

Also, for the answer I got:

y(x,t)= 0.700m*com(19.635rad/m*x + 157.08rad/s*t)

Thanks for any help!!