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17 May 2011

17 May 2011. Algebra 2. Agenda:. Review Quiz Law of Sines Student Practice Law of Cosines Student Practice. Law of Sines 5/17. The Law of Sines can be used to find missing sides or angles in a triangle. Angles (corners) are labeled with a CAPITAL letter.

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17 May 2011

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  1. 17 May 2011

    Algebra 2
  2. Agenda: Review Quiz Law of Sines Student Practice Law of Cosines Student Practice
  3. Law of Sines 5/17 The Law of Sines can be used to find missing sides or angles in a triangle. Angles (corners) are labeled with a CAPITAL letter. Sides (lines) are labeled with lower-case letters. Introduction
  4. Law of Sines 5/17 Angles A CB Introduction
  5. Law of Sines 5/17 Sides A bc CaB Introduction
  6. Law of Sines 5/17 Notice: A bc CaB Introduction
  7. Law of Sines 5/17 Notice: A bc CaB Introduction
  8. Law of Sines 5/17 Notice: A bc CaB Introduction
  9. Law of Sines 5/17 The Law of Sines states: Definition
  10. Law of Sines 5/17 Verify the Law of Sines: A 50o b = 12.46c = 11 57.42o 72.58o Ca = 10B Introduction
  11. Find the indicated side: A 50o b = ? 70o Ca = 12B
  12. Find the indicated side: We are looking for b A 50o b = ? 70o Ca = 12B
  13. Find the indicated side: A 50o b = ? 70o Ca = 12B
  14. Find the indicated side: A 50o b = ? 70o Ca = 12B
  15. Find the indicated side: A 50o b = ? 70o Ca = 12B b = 12*sine(70) / sine(50)
  16. Find the indicated side: A 50o b = ? 70o Ca = 12B b = 12*sine(70) / sine(50) b = 14.72
  17. Find the indicated angle: A 80o b = 7 ?o Ca = 12B
  18. Find the indicated angle: we are looking for B A 80o b = 7 ?o Ca = 12B
  19. Find the indicated angle: A 80o b = 7 ?o Ca = 12B
  20. Find the indicated angle: A 80o b = 7 ?o Ca = 12B
  21. Find the indicated angle: A 80o b = 7 ?o Ca = 12B 7*sine(80) / 12 = .574 sin-1(.574) = 35o <B = 35o
  22. Student Practice Complete the following three questions on a separate sheet of paper Use the Law of Sines to find the missing side or angle
  23. #1 a = ?
  24. #1 a = 10.17
  25. #2 b = ?
  26. #2 b = 11.04
  27. #3 C = ?
  28. #3 C = 48.62o
  29. Law of Sines Review 5/17 Solving a triangle means to find all the missing sides and angles. Solve ABC, if <A = 33o, <B = 47o, and b = 14 Solving a triangle
  30. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 1. Draw and label a triangle. (it does not matter if the triangle is not to scale.) Solving a triangle
  31. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 2. Can you label anything else now? Solving a triangle
  32. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 2. Can you label anything else now? Solving a triangle
  33. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 2. Can you label anything else now? Solving a triangle
  34. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 3. What capital and lower case pair do you have? Solving a triangle
  35. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 3. What capital and lower case pair do you have? Solving a triangle
  36. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions Solving a triangle
  37. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions Solving a triangle
  38. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin33 = 7.625 Solving a triangle
  39. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin33 = 7.625 7.625 / sin47 = 10.43 Solving a triangle
  40. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin33 = 7.625 7.625 / sin47 = 10.43 a = 10.43 Solving a triangle
  41. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions Solving a triangle
  42. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin100 = 13.787 Solving a triangle
  43. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin100 = 13.787 13.787 / sin47 = 18.85 Solving a triangle
  44. Law of Sines Review 5/17 Solve ABC, if <A = 33o, <B = 47o, and b = 14 4. Create your two proportions 14*sin100 = 13.787 13.787 / sin47 = 18.85 c = 18.85 Solving a triangle
  45. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 1. Draw and label a triangle. (it does not matter if the triangle is not to scale.) Solving a triangle
  46. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 2. Can you label anything else now? Solving a triangle
  47. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 2. Can you label anything else now? Can’t label anything else Solving a triangle
  48. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 3. What capital and lower case pair do you have? Solving a triangle
  49. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 3. What capital and lower case pair do you have? Solving a triangle
  50. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions Solving a triangle
  51. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions Solving a triangle
  52. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions 14*sin98 = 13.864 Solving a triangle
  53. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions 14*sin98 = 13.864 13.864 / 20 = 0.693 Solving a triangle
  54. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions 14*sin98 = 13.864 13.864 / 20 = 0.693 sin-1(0.693) = 43.88o Solving a triangle
  55. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions 14*sin98 = 13.864 13.864 / 20 = 0.693 sin-1(0.693) = 43.88o B = 43.88o Solving a triangle
  56. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions Solving a triangle
  57. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions Solving a triangle
  58. Law of Sines Review 5/17 Solve ABC, if <C = 98o, b = 14, c = 20 4. Create your two proportions 20*sin38.12 = 12.346 12.346 / sin98 = 12.47 a = 12.47 Solving a triangle
  59. Law of Sines Steps: 1. Draw and label the triangle 2. Can you label anything else? 3. What capital and lower case pair do you have? 4. Create and solve your two proportions
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