Test each of the following identities by first evaluating both sides to see that they

Chapter 9, Problem 9.2.11

(choose chapter or problem)

Test each of the following identities by first evaluating both sides to see that they are numerically equal when u = 35 and v = 40. Then let u = x and v = 25 and compare the graphs of each side of the identity as functions of x (in degrees). For example, in part (a) graph y = cos x + cos 25 and y = 2 cos( x+25 2 ) cos( x25 2 ). (a) cos u + cos v = 2 cos u + v 2 cos u v 2 (b) cos u cos v = 2 sin u + v 2 sin u v 2 (c) sin u + sin v = 2 sin u + v 2 cos u v 2 (d) sin u sin v = 2 cos u + v 2 sin u v 2

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