1. Trig Thursday, 10/9/14 TOMORROW: Warm-ups --- See Slide Below
Discussion/Notes/Guided Practice
Section 5.7: The Ambiguous Case for the Law of Sines
Homework: A#5.7 page 324 #11-16 all, odd
TOMORROW:
Chapter 5
Test
Wed. 10/15
Parent-Teacher
Conferences
TODAY

2. Warm-ups What can you conclude?
Using a ruler and protractor, draw 𝚫𝑨𝑩𝑪 with 𝑨=𝟑𝟎°, 𝒂=𝟔, 𝐚𝐧𝐝 𝒃=𝟏𝟎.
Using a ruler and protractor, draw 𝚫𝑨𝑩𝑪 with 𝑨=𝟑𝟎°, 𝒂=𝟐, 𝐚𝐧𝐝 𝒃=𝟏𝟎.
What can you conclude?

3. Determine whether a triangle has zero, one, or two solutions
Solve triangles using the Law of Sines

4. The Ambiguous Case for the Law of Sines
Height = __________________________

5. Case #1: 𝐴<90°
𝑎<𝑏𝑆𝑖𝑛𝐴 𝑎=𝑏𝑆𝑖𝑛𝐴 𝑎>𝑏𝑆𝑖𝑛𝐴 𝑎≥𝑏

6. Case #2: 𝐴<90°
𝑎≤𝑏 𝑎>𝑏

7. Example #1: Determine the number of possible solutions for each triangle
1. 𝐴=63°, 𝑎=18, 𝑏= 𝐴=105°, 𝑎=73, 𝑏=55

8. Example #2A: Find all Solutions
𝐴=98°, 𝑎=39, 𝑏=22

9. Example #2B: Find all Solutions
𝐴=72.2°, 𝑎=21, 𝑏=22

10. Example #2C: Find all Solutions
𝐵=61°, 𝑎=12, 𝑏=8

11. A#5.7 page 324
#11-16 all, odd