1 / 49

Trigonometry #3

Trigonometry #3. Radian Measures. Converting Degrees to Radians. Angle measure In degrees. Converting Degrees to Radians. Convert 60° to radians. Convert the following degree measures to radians. 45° 90° 225° 315° -60° 450°. Convert the following degree measures to radians. 45° 90°

velma
Download Presentation

Trigonometry #3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Trigonometry #3 Radian Measures

  2. Converting Degrees to Radians Angle measure In degrees

  3. Converting Degrees to Radians • Convert 60° to radians.

  4. Convert the following degree measures to radians. • 45° • 90° • 225° • 315° • -60° • 450°

  5. Convert the following degree measures to radians. • 45° • 90° • 225° • 315° • -60° • 450°

  6. Converting Radians to Degrees

  7. Convert the following radian measures to degrees.

  8. Convert the following radian measures to degrees.

  9. The Unit Circle with Coterminal Angles

  10. Convert to Degrees and Minutes • 2 • 1.74 • .3417 • 5.01095

  11. Convert to Degrees and Minutes • 2 • 1.74 • .3417 • 5.01095

  12. Convert to Radians • 42°30’ • 139°10’ • 64.29° • 56°25’ • 47.6925°

  13. Convert to Radians • 42°30’ • 139°10’ • 64.29° • 56°25’ • 47.6925°

  14. TEAMS p. 107 #’s…6,8,14,22,34,40,46

  15. Unit Circle, Count by Radians

  16. Arc Length

  17. Arc Length

  18. Arc Length • Find the arc length for a circle with radius 6 and a central angle of 42 degrees.

  19. Arc Length • Find the arc length for a circle with radius 6 and a central angle of 42 degrees.

  20. Arc Length For each of the following, sketch the circle and angle. Then find the arc length.

  21. Arc Length For each of the following, sketch the circle and angle. Then find the arc length.

  22. Arc Length

  23. Arc Length Assume the radius is 6400

  24. Arc Length Assume the radius is 6400

  25. Arc Length Assume the radius is 6400

  26. TEAMS P113….#’s 4,6,8,10,12,22

  27. Area of a Sector

  28. Area of a Sector Find the area of the sector:

  29. Area of a Sector Find the area of the sector:

  30. Area of a Sector Find the measure (in radians) of a central angle of a sector of area 16 square inches in a circle of radius 3 inches Find the radius of a circle in which a central angle of π/6 radian determines a sector of area 64 square meters.

  31. Area of a Sector Find the measure (in radians) of a central angle of a sector of area 16 square inches in a circle of radius 3 inches Find the radius of a circle in which a central angle of π/6 radian determines a sector of area 64 square meters.

  32. Area of a Sector Find the area of the sector shaped field to the left.

  33. Area of a Sector Find the area of the sector shaped field to the left.

  34. TEAMS P. 116, #’s……40,42,44,46,48

  35. Find the exact value

  36. Find the exact value

  37. Find the exact value

  38. Find the exact value

  39. Find the exact value

  40. Find the exact value

  41. Find the exact value

  42. Find the exact value

  43. Find the exact value

  44. Find the exact value

  45. Find the exact value

  46. Find the exact value

  47. Find the exact value

  48. Find the exact value

  49. TEAMS p. 125 #’s….16,18,20,22,24,26,28,54,56,58

More Related