Traveling Waves The expression sin(x + ct) + sin(x - ct) represents a traveling wave that is moving at speed c.
(a) Write the expression in terms of a product of functions.
(b) The function f (x, t) = sin(x - t) is a function of two variables, x and t, where x stands for position and t represents time. For a fixed value of t, sin(x - t) is a function of x alone. For each of three fixed values of t (t = 0, t = 1, and t = 2), graph this function. What happens to the graph as t increases?
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