Good Morning, Precalculus!
To prepare for class:
1. Please find your DO NOW sheet and start today's DO NOW!
Do Now:
1) Check to make sure your calculator is in degree mode [it is if
sin(30) = 0.5]
2) Solve the proportion by cross-multiplying and using your
calculator:
Do Now:
1) Check to make sure your calculator is in degree mode [it is if
sin(30) = 0.5]
2) Solve the proportion by cross-multiplying and using your
calculator:
Upcoming Assignments
Due Thursday, 3/14:
Half-sheet of practice problems
Today's Objective
Unit 10, Objective 1: I will be able to use
the Law of Sines and the Law of Cosines
to solve for missing sides and angles in
triangles.
Section 5-6, pgs. 313-318
Section 5-8, pgs.327-332
Today's Agenda:
1. Do Now
2. Today's Objective
3. The Law of Sines
4. The Law of Cosines
5. Practicing with Whiteboards
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
54o
7) Cos-1
8) Tan-1
114o
xo
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
13
7) Cos-1
x
8) Tan-1
12
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
x
7) Cos-1
3
8) Tan-1
4
ADJACENT
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
51o
x
7) Cos-1
8) Tan-1
15
OPPOSITE
ADJACENT
1) Triangle Angle Sum Theorem (angles add to
180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
51o
x
7) Cos-1
12
8) Tan-1
OPPOSITE
ADJACENT
1) Triangle Angle Sum Theorem (angles add to
180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
51o
7) Cos-1
x
8) Tan-1
15
OPPOSITE
ADJACENT
1) Triangle Angle Sum Theorem (angles add to
180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
xo
25
7) Cos-1
8) Tan-1
16
OPPOSITE
ADJACENT
1) Triangle Angle Sum Theorem (angles add to
180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
xo
26
7) Cos-1
10
8) Tan-1
OPPOSITE
ADJACENT
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
xo
7) Cos-1
18
8) Tan-1
24
OPPOSITE
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
7) Cos-1
16
xo
8) Tan-1
38o
?
26
1) Triangle Angle Sum Theorem (angles add
to 180 deg.)
2) Pythagorean Thm. a2 + b2 = c2
3) Sin
4) Cos
5) Tan
6) Sin-1
x
7) Cos-1
120o
8) Tan-1
48o
24
?
The Law of Sines
Deriving the Law of
Sines
The Law of Cosines
9
Practicing with Whiteboards
Law of Sines?
Law of Cosines?
Neither?
6
580
15
x
Law of Sines?
Law of Cosines?
Neither?
Law of Sines?
Law of Cosines?
Neither?
9
x
9
Law of Sines?
Law of Cosines?
Neither?
1340
Law of Sines?
Law of Cosines?
Neither?
Law of Sines?
Law of Cosines?
Neither?