Chapter 7.3, Problem 39E

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Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y) – sin(x) sin(y) sin(2x) = 2 sin(x) cos(x) sin? æ + cos (x) =1 sin(-a) = - sin(x) sin(x + y) = sin(x) + sin(y)

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Evaluate x³ sin (ax?) dx sin (az?) z' cos (az?) + C a. 2a2 2a 1 cos (az?) + C b. sin (az?) 2a? 2a sin (az?) 1' cos (az) + C C. 2a 2a2 sin (az?) 1' cos (az?) + C d. 2a2 2a O o O O

Find x cos x + sin x -dr. x sin a 5.

alt 9 Verify the identity. esc Z JABL 2 a sin(x) + cos(x) sec(x) + csc(x) Z sin(x) + cos(x) sec(x) + csc(x) W S X # 3 = e = sin(x) cos(x) d sin(x) + cos(x) 1 1 cos(x) sin(x) = (sin(x) + cos(x)) с sin(x) + cos(x) sin(x) + cos(x) = cos(x) sin(x) + с $ 4 r F un de %- 5 V rt 6.0 g cos(x) sin(x) DII <6 b y + cos(x) up h & 7 O C n ★ 8 j ¡ 9 k O alt р

4 sin x f(x) 2 + cos x

If sin x - x sin x = -y cosx , then (y - 1) sin x = ? da C- x sip C+x sitft (B C - x COSX C+x COs

sin(2x) = - 1/2 for 0 ≤ x ≤ 2pi