Question

15. The point (-6,-8) is on the terminal arm of LA-which is the correct value of csc A? a. 4 ー c. 3 16. Determine two angles between 0° and 360° that have a cosecant of -2. 17. Determine two angles between 0 and 360° that have a secant of 2. 18. Determine two angles between 0° and 360° that have a cotangent of 3. 19. A periodic function. (x) has a period of 12 and/(14)--5. What is the next x-value along the positive x-axis a. 30° and 150° b. -30 and-150° c. 330o and 210° d. 240 and 300 a. 45° and 315 b. 225° and 135 c. 45 and 135 d. 45 and 225 a. 30 and 210 b. 30 and 150 60° and 300 . 150° and 330 where the function has the same value of y? a. 12 b. 14 c. 26 d. 38 20. The value of a periodic function at x 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 is x 9? a. C. d. 6 21. A periodic function fx) has a minimum value of -22 and an amplitude of 6. The maximum value is: b. -16 c. 8 d. -10 Suzanne sits on a merry-go-round. She completes 12 revolutions in 4 min. What is the period of the ride? a. 3 minutes b. 12 minutes c. 20 s 1.3 minutes 23. Rahman sits on a merry-go-round at the local fair. If the ride completes 1 revolution (cycle) in 45 s, how ma., degrees does he rotate through in 3 min? a. 360° b. 720° c. 1440 d. 2880° A periodic function has a period of 2.5 min. How many cycles of the function occur in 10 min? a. 24. b. 3 c. Which of the following properties do the sine and cosine functions have in common? a. domain 25. b. range c. y-intercepts d. a) and b) 26. What is the effect on a cosine function when k changes from 1 to 2? the amplitude doubles a. b. c. d. the graph moves up one unit the graph moves down one unit the period is halved 27. What is the effect on a sine function when a changes from a positive value to a negative value? the amplitude becomes negative the function reflects in the y-axis c. d. the function reflects in the x-axis there is no effect on the function a- b. 28. A sine function has a phase shift of 60° to the right and a vertical translation of 2 units down. What is a possil equation for this function? a. y"sin (x+600)-2 b. y-sin (x-60) +2 c. y- sin (x-60°)-2 d. y-sin+60)+2

Answer 1

15) solution :

answer :

Csc A = h/p = 10/-6 = -5/3 Ans = d option cosecant = -2 sine = -1/2 therefore sin 30 = -1/2 and sin (-150) = sin 150 = -1/2 therefore Ans = b option secant = squareroot 2 cosine sin squareroot 2 cos (45 degree) = 1/squareroot 2 and cos (360 degree - 45 degree) = cos 315 degree = cos 45 degree = 1/squareroot 2 \r\n therefore Ans c option cotangent = -squareroot 3 therefore tangent = -1/squareroot 3 therefore tan (150 degree) = sin 150 degree /cos 150 degree = (1/2)/(-squareroot 3/2) = -1/squareroot 3 And tan 330 degree = sin 330 degree/cos 330 degree = (-1/2)/(squareroot 3/2) = -1/squareroot 3 therefore option (d)