chapter 5 law of sines and cosines. the story there are 3 cities in california (knows how to party):...

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Chapter 5 Law of Sines and Cosines

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Page 1: Chapter 5 Law of Sines and Cosines. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up

Chapter 5 Law of Sines and Cosines

Page 2: Chapter 5 Law of Sines and Cosines. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up

The Story

There are 3 cities in California (knows how to party): City ACity BCity CThe cities on the map make up a triangle. If people want to find and travel the distance between cities,Or the angles on the map, what should they do?

Page 3: Chapter 5 Law of Sines and Cosines. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up

Use the Law of Sines!

= =

==

Page 4: Chapter 5 Law of Sines and Cosines. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up

A

B C

a

bc

Little a is the route airplanes travel on

Little b is the route boats travel

Little c is the route cars travel

A= airport B=bayC= carport

Page 5: Chapter 5 Law of Sines and Cosines. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up

Law of Cosines

a²=b²+c²- 2bc(cosA)Airplane²= boat² + cars²- 2boatcar(Airport)

Airplanes can travel over sea and land, and are better than boats and cars. That’s why they go first.

However, the letters are interchangeable, as long as you keep the same format (ex c²=a²+b²- 2ab(cosC)