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Part A - Multiple Choice [K/U - 20 marks] 1. A solution to the trigonometric equation sin x + cos x = 0 is x = 0. a. True b. False 2. The graphs of the functions y = sin x andy = csc x have the same range. a True b. False 3. The trigonometric equation cos x - sin x = 0 has the same solutions as the trigonometric equation cos 2x = 0. a True b. False 4. Starting on the positive x-axis and moving - of the way around a circle that has radius 3 m, how far would one travel? a. 3.14 m b. 360 me 6.28 m d. 0.69 m 5 . of a revolution represents how many radians? a. b. 315 d. 157 6. Determine the value of csc 0.71, to three decimal places. a. 0.652 1.534 C. 0.012 d. 80.700 7. If tanb = 0, then coto must be a. vertical b. undefined C . zero d. indeterminate 8. What is the instantaneous rate of change of the graph of y = cosx when x = 2T? a. b . -1 d. 2 9. Which of the following functions has the longest period? a. y = 6 sin(3x) + 20 b. y - 8 cos(2x) -4 c. y - 7cos(xx) +13 d. y = 2 sin(0.5x) -11 10. A man programs his sprinkler system using the equation 15 sin (kt), where t is in seconds. If he wants it to have a period of 5 s, what should k be? b . 3 x 5 x ad. 3 6 1 C. d. 3