2. 144°

4. If the terminal side of an angle, θ, passes through the point P(-2, 6) determine the numerical value of sec θ.

5. -2 6

6. 440°

12. Let O be the origin of the coordinate plane. Let C be a point on the terminal side of an angle in standard position with a measure of 240 ∘. If OC = 3, what are the coordinates of C?

13. (-1.5, -2.598)

16. An angle is in standard position. If the angle’s terminal side is rotated one-third of a complete counter-clockwise rotation its measure is….

18. 143°

19. ClockwiseCounter-Clockwise 143°-360°=-217° 143°+360°=503°

20. A 25-foot-tall ladder is leaning against a tall building. The base of the ladder is placed at an angle of 73° with the ground. How far away from the wall is the ladder?

21. A 25-foot-tall ladder is leaning against a tall building. The base of the ladder is placed at an angle of 73° with the ground. How far away from the wall is the ladder?

24. An angle θ in standard position has a measure of 309°. O is the origin, and point P is a point on the terminal side of θ. If OP = 16, the coordinates of point P, rounded to the nearest thousandth, are…

25. (10.069, -12.434)

26. Θ =144°

28. The second hand of a clock is 6 inches long. How far does the tip of the second hand travel in 23 minutes?

32. If the terminal side of an angle, θ, passes through the point P(-3, 9), and O is the origin, determine the length of OP.

33. If the terminal side of an angle, θ, passes through the point P(-3, 9) and O is the origin, determine the length of OP.

36. Determine the cosine of the angle given that (5,-3) lies on the terminal side of θ and θ is in standard position.

37. Determine the cosine of the angle given that (5,-3) lies on the terminal side of θ and θ is in standard position.

40. The terminal side of -137° is in which quadrant?

41. Quadrant III

45. (-5.829, 9.329)

46. The radian measure of an angle in standard position that represents one and five-sixths complete clockwise rotations is…

48. An angle between 0 and 2 π that is coterminal with 960° is

49. 240°

50. The second hand of a clock is 6 inches long. How many degrees does the second hand rotate in 23 minutes?

51. 23 minutes = 23 full revolutions for the second hand 23(360°) = 8280°