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Good Morning, Precalculus!

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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:. - PowerPoint PPT Presentation
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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:
Transcript
Page 1: Good Morning, Precalculus!

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:

Page 2: Good Morning, Precalculus!

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:

Page 3: Good Morning, Precalculus!

Upcoming Assignments

Due Thursday, 3/14:Half-sheet of practice problems

Page 4: Good Morning, Precalculus!

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. 313-318Section 5-8, pgs.327-332

Page 5: Good Morning, Precalculus!

Today's Agenda:1. Do Now2. Today's Objective3. The Law of Sines4. The Law of Cosines5. Practicing with Whiteboards

Page 6: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

54o

xo114o

Page 7: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

13x

12

Page 8: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

x3

4

Page 9: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

x51o

15

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 10: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

x51o12

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 11: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1 x

51o

15

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 12: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

25xo

16

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 13: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

26xo10

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 14: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

xo18

24

HYPOTENUSE

OPPOSITE

ADJA

CENT

Page 15: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

xo

38o

16

26?

Page 16: Good Morning, Precalculus!

1) Triangle Angle Sum Theorem  (angles add to 180 deg.)2) Pythagorean Thm. a2 + b2 = c23) Sin4) Cos5) Tan6) Sin-17) Cos-18) Tan-1

120o

48o

x

?24

Page 17: Good Morning, Precalculus!

The Law of Sines

Page 18: Good Morning, Precalculus!

Deriving the Law of Sines

Page 19: Good Morning, Precalculus!
Page 20: Good Morning, Precalculus!
Page 21: Good Morning, Precalculus!
Page 22: Good Morning, Precalculus!
Page 23: Good Morning, Precalculus!
Page 24: Good Morning, Precalculus!
Page 25: Good Morning, Precalculus!
Page 26: Good Morning, Precalculus!

The Law of Cosines

Page 27: Good Morning, Precalculus!
Page 28: Good Morning, Precalculus!
Page 29: Good Morning, Precalculus!
Page 30: Good Morning, Precalculus!

9

Page 31: Good Morning, Precalculus!
Page 32: Good Morning, Precalculus!

Practicing with Whiteboards

Page 33: Good Morning, Precalculus!

580

6

x

15

Law of Sines? Law of Cosines? Neither?

Page 34: Good Morning, Precalculus!

Law of Sines? Law of Cosines? Neither?

Page 35: Good Morning, Precalculus!

9

x

9

Law of Sines? Law of Cosines? Neither?

Page 36: Good Morning, Precalculus!

Law of Sines? Law of Cosines? Neither?

1340

Page 37: Good Morning, Precalculus!

Law of Sines? Law of Cosines? Neither?

Page 38: Good Morning, Precalculus!

Law of Sines? Law of Cosines? Neither?

Page 39: Good Morning, Precalculus!

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