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# Pc 6.1 b_notes

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• 1. PC_6.1B_Notes February 03, 2012 6.1 Continued… Law of Sines Objective:  Use the law of sines to solve  the ambiguous case of a triangle Standard: Trigonometry 13.0, 14.0 1
• 2. PC_6.1B_Notes February 03, 2012 The Ambiguous Case: SSA SSA is not a congruency property from  Geometry, so we need to be careful  when solving a triangle given two sides  and the NON­included angle. Three Possible Outcomes: 2
• 3. PC_6.1B_Notes February 03, 2012 Heres how 2 triangles  are formed. 0° 234 12 19 52° 3
• 4. PC_6.1B_Notes February 03, 2012 The Test for SSA ­ How you determine the number of solutions: If opp ≥ adj, then __________ If opp < adj, then __________  The second solution:  Then find B ,  1 A1 is the _______ angle found. C , and c   1 1 Second solution angle A2= _______ Then find B2, C2, and c2  You will have to complete the problem twice! 4
• 5. PC_6.1B_Notes February 03, 2012 Ex. 1﴿ Use the Law of Sines to find the missing  sides and angles. Solutions? A=48°, a=11.4, c=12.8 5
• 6. PC_6.1B_Notes February 03, 2012 Ex. 2﴿ Use the Law of Sines to find the missing  sides and angles. Solutions? A=76°, a=18, c=20 6
• 7. PC_6.1B_Notes February 03, 2012 Ex. 3) 7
• 8. PC_6.1B_Notes February 03, 2012 Ex. 4) 8
• 9. PC_6.1B_Notes February 03, 2012 How do you know? 0 solutions: 1 solution: 2 solutions: 9
• 10. PC_6.1B_Notes February 03, 2012 Assignment: LOS: The Ambiguous Case WS 10
• 11. PC_6.1B_Notes February 03, 2012 11
• 12. PC_6.1B_Notes February 03, 2012 12
• 13. PC_6.1B_Notes February 03, 2012 13