Post on 22-Nov-2014
description
transcript
PC_6.1B_Notes
1
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
PC_6.1B_Notes
2
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:
PC_6.1B_Notes
3
February 03, 2012
52°
1912
Here's how 2 triangles are formed.
0°234
PC_6.1B_Notes
4
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:
A1 is the _______ angle found.
Second solution angle A2= _______
You will have to complete the problem twice!
Then find B1,
C1, and c1
Then find B2, C2, and c2
PC_6.1B_Notes
5
February 03, 2012
Ex. 1﴿ Use the Law of Sines to find the missing sides and angles.A=48°, a=11.4, c=12.8
Solutions?
PC_6.1B_Notes
6
February 03, 2012
Ex. 2﴿ Use the Law of Sines to find the missing sides and angles.
A=76°, a=18, c=20Solutions?
PC_6.1B_Notes
7
February 03, 2012
Ex. 3)
PC_6.1B_Notes
8
February 03, 2012
Ex. 4)
PC_6.1B_Notes
9
February 03, 2012
How do you know?
0 solutions:
1 solution:
2 solutions:
PC_6.1B_Notes
10
February 03, 2012
Assignment:
LOS: The Ambiguous Case WS
PC_6.1B_Notes
11
February 03, 2012
PC_6.1B_Notes
12
February 03, 2012
PC_6.1B_Notes
13
February 03, 2012