Problem: The equation of a transverse wave traveling in a rope is given by y=60 sin(pi/2) (0.0050x - 8.0t - 0.57), in which x and y are expressed in centimeters and t in seconds.
Part A: Write down the equation of a wave that, when added to the given one, would produce standing waves on the rope having a node at x = 0.
Please show me how you solve the problem.