O O 7. The graph of y= = cos x is transformed to y = a cos(x - c) + d by a vertical expansion 76 by a factor of 3, then translated units left and 6 units up. The new equation is: T y = 3 cos (x-7) - (2 y = 3 cos (x- (20 y T 6 +6 = 3 cos (x + 7) + +6 1 ○ ₂ = = 0 (z-7)+6 y 3

In the graph below, the red graph is y = cos x. What is the function represented by the blue graph? (-4x/3, 1) Select one: (-3,-1) O b. 0 a. y = = cos(x+3) y = cos(x - 2) O c. y = cos(x + 2) ○ d. y = cos(x) (2x/3, 1)

Bind y 5-€ COSX

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Evaluate sec(4x) tan(4x)dx Select one: sec(4x) a. +C sec(z) b. +C 4 C. sec(4x) + C d. 4 sec(4x) + C

07 tanxtan2x + tan2xtan3x + + tan5xtan6x%3D14 tan6x calculate: tan x 15 10 20

Q. / 3sec3xtan3xdx sec3x +c -sec3x +c None tan3x +c

Compare the phase shift and amplitude of y=-cos(x-180∘) and y=-2sin(x-90∘). Which of the following choices is the correct comparison? a The cosine function has a phase shift that is 12 that of the sine function and in the same direction; the amplitude of the cosine function is 2 times that of the sine function. b The cosine function has a phase shift that is 12 that of the sine function and in the opposite direction; the amplitude of the cosine function is 12 that of the sine function. c The cosine function has a phase shift that is 2 times larger than the phase shift of the sine function and in the same direction; the amplitude of the cosine function is 12 that of the sine function. d The cosine function has a phase shift that is 2 times larger than that of the sine function and in the opposite direction; the amplitude of the cosine function is 2 times that of the sine function.

Sketch the graph of He function y=- 2 cos 4x +3

solve for x tan(3x-4)o=1/cot(5x-8)o