Test each of the following identities first by evaluating both sides to see that they are numerically equal when u = 15_ and v = 42_. Then let u = x and v = 20_ and compare the graphs of each side of the identity as functions of x (in degrees). For example, in part (a) graph y = sin(x + 20) and y = sin x cos 20 + sin 20 cos x. (a) sin(u + v) = sin u cos v + sin v cos u (b) sin(u _ v) = sin u cos v _ sin v cos u (c) cos(u + v) = cos u cos v _ sin v sin u (d) cos(u _ v) = cos u cos v + sin v sin u

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