Chapter 1.1, Problem 10ES

1. Sketch a graph of: y = 2 sin (3x-377) +3. 2 Show your calculations for the transformation of 5 key points OR List all of the transformations.

2. Use a compound angle formula to determine the exact value of sin 13π 12

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II 7. Give an equation for a transformed sine function with an amplitude of 3, a period of 4' and a phase shift of 43 rad to the right. a. b. yol-2(1-1) = 3 sin 7-185(1-5) y 3 sin 8t+ = 8. Solve 2 cos x - 1 = 0 on the interval x = [0,2]. 2元 Π a. X X 3 3 元 b. x = wh 3 x = 5元 3 wy C. y= 3 sin 5 d. y= 3 sin 4x C. X -- 3 3 2元 d. ---- 3 4π 3 J

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5. Determine the phase shift of the sinusoidal function y = 5 cos [2(x − )] + 3. a. 3 rad to the right b. 3 rad to the left c. π rad to the left d. π rad to the right a. 6. The period of the function y 2元 = sin 2x is b. π C. 1 d. 2

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