TRIG WORKSHEET—ANGLES NAME



WORKSHEET—Radians and degrees NAME __________________

I. Sketch each of the following angles in standard position.

1. [pic] 2. [pic] 3. [pic] 4. [pic]

II. Determine the quadrant in which the terminal side of the angle lies.

5. [pic] ________ 6. [pic] __________ 7. [pic] ________

8. [pic] ________ 9. [pic] __________ 10. [pic] ________

11. [pic] ________ 12. [pic] __________ 13. 3.5 ________

14. –1 _________

III. Express each of the following in radian measure. Leave your answer in terms of [pic].

15. [pic] ________ 16. [pic] ________ 17. [pic] ________

18. [pic] ________ 19. [pic] ________ 20. [pic] ________

IV. Express each of the following in degree measure.

21. [pic] ________ 22. [pic] ________ 23. [pic] _______

24. [pic] ________ 25. [pic] ________ 26. [pic] ________

V, Find the radian measure of the angle in standard position given the following information.

27. r = 3 ft, s = 12 ft _______ 28. Arc length = 7 in., radius = 42 in. _______

29. s = 21 m, r = 25 m _______ 30. Arc length = 40 km, radius = 15 km _______

VI. Find the arc length of the sector formed given the following information.

31. θ = 2.3 radians, radius 5 in. ______ 32. Θ = 1.67 radians, radius = 12 in. _______

33. Explain what 1 radian is.

34. Explain what 2 radians is.

35. Explain why 180 degrees is the same as π radians.

36. Explain why 360 degrees is the same as 2π radians.

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