Consider a traveling wave described by the formula y_1(x,t) = Asin(kx - wt). This function might represent the lateral displacement of a string, a local electric field, the position of the surface of a body of water, or any of a number of other physical manifestations of waves. The expression for a wave of the same amplitude that is traveling in the opposite direction is Asin(kx + wt). The sum of these 2 waves can be written in the form y_s(x,t) = y_e(x)*y_t(t). Where y_e only depends on displacement and y_t depends on the time. Find y_e(x) and y_t(t). Keep in mind that y_t(t) should be a trigonometric function of unit amplitude. Express your answers in terms of A, k, x, w, and t. I know I'm meant to use the identity sin(A-B) = sinAcosB - cosAsinB, but I don't know how to apply it. Any help would be great. Thank you.