USING MATLAB:

Consider the function g_1 (x) = sin(theta). Recall that the phase of a trigonometric function can be shifted to the right by delta theta through the modified equation g_2 (x) = sin(theta - delta theta). Create a vector of phase shifts called delta_theta, with shifts ranging from 0 to pi in intervals of 0.1. Next, create a) an animation, then b) a movie that shows the graph's progression as the function shifts from g_1(x) to g_2(x)