powerpoint presentation€¦ · day 3 — arcs and angles as rotations 210. 2 kcw-. 1200 12.0...
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![Page 1: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/1.jpg)
![Page 2: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/2.jpg)
![Page 3: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/3.jpg)
![Page 4: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/4.jpg)
![Page 5: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/5.jpg)
![Page 6: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/6.jpg)
60
QI
210
QIII
30
![Page 7: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/7.jpg)
450 -360 90
Quadrantal Angle
-40
QIV
![Page 8: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/8.jpg)
![Page 9: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/9.jpg)
360
2𝜋
57.3°
2𝜋
360
.017 radian
![Page 10: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/10.jpg)
𝟓𝟎 ∙𝝅
𝟏𝟖𝟎 =
𝟓𝟎𝝅
𝟏𝟖𝟎=
𝟓𝝅
𝟏𝟖 −𝟏𝟐𝟎 ∙
𝝅
𝟏𝟖𝟎 =
−𝟏𝟐𝟎𝝅
𝟏𝟖𝟎=
−𝟐𝝅
𝟑 𝟐𝟕𝟎 ∙
𝝅
𝟏𝟖𝟎 =
𝟐𝟕𝟎𝝅
𝟏𝟖𝟎=
𝟑𝝅
𝟐
![Page 11: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/11.jpg)
𝝅
𝟔∙
𝟏𝟖𝟎
𝝅 =
𝟏𝟖𝟎
𝟔= 𝟑𝟎
−2𝝅
𝟓∙
𝟏𝟖𝟎
𝝅 =
−𝟑𝟔𝟎
𝟓= −𝟕𝟐
1.7𝝅
𝟏∙
𝟏𝟖𝟎
𝝅 =
𝟑𝟎𝟔
𝟏= 𝟑𝟎𝟔
![Page 12: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/12.jpg)
3.45
𝟏∙
𝟏𝟖𝟎
𝝅 =
𝟔𝟐𝟏
𝝅
197°𝟒𝟎′
7𝝅
𝟔∙
𝟏𝟖𝟎
𝝅 =
𝟏𝟐𝟔𝟎
𝟔= 𝟐𝟏𝟎
![Page 13: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/13.jpg)
Positive measure: 240 + 360 = 600°
Negative measure: 240 - 360 = -120°
Positive measure: 𝟗𝝅
𝟒+ 𝟐𝝅 =
𝟏𝟕𝝅
𝟒
Negative measure: 𝟗𝝅
𝟒− 𝟐𝝅 =
𝝅
𝟒
𝝅
𝟒− 𝟐𝝅 =
−𝟕𝝅
𝟒
![Page 14: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/14.jpg)
-285 terminates in QI.
pos: -285 + 360 = 75
![Page 15: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/15.jpg)
300 -(-420) 720
300 -(-300) 600
300 -(-60) 360
300 -660 -360
Coterminal angles have differences that equal 360 or multiples of 360.
![Page 16: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/16.jpg)
-120 -240 -360
-120 -(-80) -40
-120 -60 -180
![Page 17: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/17.jpg)
−𝟓𝝅
𝟗
𝒏𝒐𝒕 𝒂 𝒎𝒖𝒍𝒕𝒊𝒑𝒍𝒆 𝒐𝒇 𝟐𝝅
![Page 18: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/18.jpg)
Positive measure: −𝟓𝝅
𝟔+ 𝟐𝝅 =
𝟕𝝅
𝟔
![Page 19: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/19.jpg)
![Page 20: PowerPoint Presentation€¦ · Day 3 — Arcs and Angles as Rotations 210. 2 kcw-. 1200 12.0 197.6734393 180 180 or degrees = radlans 1. Find, to the nearest minute, the angle whose](https://reader034.vdocuments.site/reader034/viewer/2022050114/5f4b1dc1cd679a6be52042a3/html5/thumbnails/20.jpg)
−𝟒𝟐𝟎 ∙𝝅
𝟏𝟖𝟎 =
−𝟒𝟐𝟎𝝅
𝟏𝟖𝟎=
−𝟕𝝅
𝟑