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Period function multiple choice
Assignment PERIODIC FUNCTIONS KU 2 TI /20 Multiple Choice choose the best answer for each question KU 21m 1. In which quadrants are the tangent ratios negative values? a. and lI b. II and III c. III and IV d. I and IV 2. Which set of angles has the same terminal arm as 40? 3. Which set of angles has the same terminal arm as 70 4. What is the exact value for tan (-120)? a. 400°. 760 b. 220°. 400 c. 130,220 d. 80, 120 a. 20,-110 b. О,-70° c. -290,-650 d.-110-290 a. b. 5. What is the exact value for sin -315)? a.-2 b. 6. Which pair of angles between 0° and 360° satisfies sin θ.-- a. 45° and 135 b.45° and 0° e. 225° and 315°-45° and 225 7. Which pair of angles between 0° and 360° satisfies tan3? c. 120° and 240 a. -60° and-240b. 60° and 240° d. 300° and 240 8. A periodic function/(x) has a period of 12 and where the function has the same value of y? 4)--5. W hat is the next x-value along the positive x-axis b. 14 c. d. 38 9. The value of a periodic function atx 6 is y 3. What is the period of the function if the next x-value along the positive x-axis where the function has the same y-value isx 9? d. 6 10. A periodie function Ax) has a minimum value of-22 and an amplitude of 6. The maximum value is: a. 0 b.-16 C.8 d. -10 1 Suzanne sits on a merry-go-round. She completes 12 revolutions in 4 min. What is the period of the ride? c. 20s a. 3 minutes b. 12 minutes d. 1.3 minutes 12. Rahman sits on a merry-go-round at the local fair. If the ride completes I revolution (cycle) in 45 s, how many degrees does he rotate through in 3 min? a. 360 A periodic function has a period of 2.5 min. How many cycles of the function occur in 10 min? Which of the following properties do the sine and cosine functions have in common? b. 720 C. 1440° d. 2880 12. 14. a. domain b. range c. intercepts d. a) and b)
15. What is the effect on a cosine function when k changes from 1 to 2? a. the amplitude doubles b. c. d. the graph moves up one unit the graph moves down one unit the period is halved 16. What is the effect on a sine function when a changes from a positive value to a negative value? a. the amplitude becomes negative b. c. d. the function reflects in the x-axis there is no effect on the function the function reflects in the y-axis 17. A sine function has a phase shift of 60 to the right and a vertical translation of 2 units down. What is a possible equation for this function? a. y-san (x+60*)-2 b. У.sin (x-60) + 2 -n(x-60°)-2 У.sn (x+609) + 2 d. 18. Which of the following properties is true for a unit circle? has a radius of 1 unit c. neither are true d. both are truc a, b. is centred at the origin 19. Which statement regarding sin 30° is true? a. sin 30°-cos 60° b. sin 30°=½ c. sin30sin 150° d. all of the above 20. What reference angle should be used for an angle of 300° in standard position? a. 30° b. 45 C. 60 d. 300 21. The statement sin 450. sin 1350 İS true only for clockwise rotations a. b. c. always true d. true only for counterclockwise rotations never true 22. The point (4, -3) is located on the terminal arm of angle A a) Determine the trig ratios for ZA TI, 4m] b) Determine the trig ratios for 2B that has the same sine ratio as LA. What quad is B in? TL4m c) Determine the measures of LA-B Label the angles on the diagram. TL 4m
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