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Section 6.5 Law of Sines

Chapter 6 – Trigonometric Functions: Right Triangle Approach. Section 6.5 Law of Sines. Law of Sines. Used for oblique triangles (triangles that do not contain right angles). Law of Sines. We have two possible cases for the law of sines . Case 1 – One side and two angles (ASA or SAA)

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Section 6.5 Law of Sines

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  1. Chapter 6 – Trigonometric Functions: Right Triangle Approach

    Section 6.5 Law of Sines

    6.5 - Law of Sines
  2. Law of Sines Used for oblique triangles (triangles that do not contain right angles). 6.5 - Law of Sines
  3. Law of Sines We have two possible cases for the law of sines. Case 1 – One side and two angles (ASA or SAA) Case 2 – Two sides and the opposite angle to one of those sides (SSA) 6.5 - Law of Sines
  4. Definition Law of Sines works when we have SAA or ASA. 6.5 - Law of Sines
  5. Solving Using SAA Solve the triangles below: a) b) 6.5 - Law of Sines
  6. Solving Using ASA Solve the triangles below: a) b) 6.5 - Law of Sines
  7. The Ambiguous Case (SSA) SSA is called an ambiguous case because the given information can result in zero, one, or two triangles. 6.5 - Law of Sines
  8. SSA – No Triangle 6.5 - Law of Sines
  9. SSA – One Triangle 6.5 - Law of Sines
  10. SSA – Two Triangles 6.5 - Law of Sines
  11. Examples - SSA Solve ABC if A = 50, a = 10, and b = 20. 6.5 - Law of Sines
  12. Examples - SSA Solve ABC if A = 40, a = 54, and b = 62. 6.5 - Law of Sines
  13. Example – pg. 474 6.5 - Law of Sines
  14. Example – pg. 474 6.5 - Law of Sines
  15. Example – pg. 474 6.5 - Law of Sines
  16. Example – pg. 475 6.5 - Law of Sines
  17. More Practice Sketch the triangle. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. 6.5 - Law of Sines
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