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, 19-29 odd TOMORROW: Chapter 5 Test Wed. 10/15 Parent-Teacher Conferences TODAY

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?

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

The Ambiguous Case for the Law of Sines Height = __________________________

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

Case #2: 𝐴<90° 𝑎≤𝑏 𝑎>𝑏

Example #1: Determine the number of possible solutions for each triangle 1. 𝐴=63°, 𝑎=18, 𝑏=25 2. 𝐴=105°, 𝑎=73, 𝑏=55

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

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

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

A#5.7 page 324 #11-16 all, 19-29 odd