A traveling sinusoidal wave propagates in the +x direction on a string. You make the following observations about the wave: The maximum transverse displacement of the string from its equilibrium position is 5 cm. At a fixed instant in time, the distance between two points where the string has zero displacement in the y-direction from its equilibrium position is 40 cm. At a fixed position along the string, you observe the string has zero displacement in the y-direction from its equilibrium position, and then it starts to be displaced. After 0.1 sec. elapses, you again observe the string has zero displacement in the y- direction from its equilibrium position (at that position along the string). At t=0 sec, the string is maximally displaced from its equilibrium position in the +y-direction Write down the mathematical equation and a diagram that describes this traveling wave. Explain how these two representations are consistent with each other.