ambiguous case

1. Homework Questions

2. LOGS Warm-up
• Convert from log form to exponential form
• Convert from exponential form to log form
• Expand
• Condense
9 81y
=2 7a
=
3log 2x = 3log 1a = −
2log
xy
z
2
4
3
log
ab
c
2log 3log 4log 8logx y z a+ − −

3. LOGS Warm-up

4. Law of SinesLaw of Sines
Section 5.5Section 5.5

5. Law of Sines
• Given 2 angles and 1 side
C
c
B
b
A
a
sinsinsin
==

6. Solve the triangle:
• A = 33°, B = 105°, b = 37.9
A = a =
B = b =
C = c =

7. Solve the triangle:
• A = 36°, B = 48°, a = 8
A = a =
B = b =
C = c =

8. Solve the triangle:
• A = 40°, B = 30°, b = 10
A = a =
B = b =
C = c =

9. Ambiguous Case:
• There is more than 1 solution to the triangle
• Given 2 sides, 1 angle → check!

10. Solve the triangle:
• A = 30°, a = 8, b = 10
A = a =
B = b =
C = c =
A = a =
B = b =
C = c =

11. Solve the triangle:
• A = 112°, a = 4, b = 3
A = a =
B = b =
C = c =
A = a =
B = b =
C = c =

12. Solve the triangle:
• A = 51°, a = 40, c = 50
A = a =
B = b =
C = c =
A = a =
B = b =
C = c =

13. Solve the triangle:
• C = 36°, a = 17, c = 16
A = a =
B = b =
C = c =
A = a =
B = b =
C = c =

14. Homework
• Worksheet
• P. 484 (7-19)
• (1-6 for stickers)