Detective Work Suppose that you have received the following two graphs without their equations. Show how you can infer the equations from graphical information.
(a) The graph in Fig. 4.I.9(a) represents A cos(t - (). Determine A and 6 from the graph and write the equation of the curve in the form of equation (5).
(b) The graph in Fig. 4.1.9(b) represents c1 cos t + c2 sint. Determine c1 and c2 from the graph and write the equation of the curve in the form of (4). Find A and 8 first.

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-2 0 2π (a) Graph of A cos (1-δ) 2.5 0 -2.5 2π (b) Graphof c cost+c2 sin FIGURE 4.1.9 Simple harmonic motions (Problem 45).