1. Let f(x) = - sin(2x) and g(x) = cos(x). %3D (a) Find the amplitude and period for f(x) and g(x) respectively. (b) Find five special points (zeros and turnings) for each of the two functions f(x) and g(x). (c) On the same coordinate-plane, sketch and label the graphs of the y = f(x) and y = g(x) on the interval of 0sxs 2T. (d) Locate the intersections on the graph in (c) and then solve the equation f(x) = g(x) for exact values of x in the interval 0 s x S 2m algebraically using trigonometric identities and properties of the functions. %3D

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