the unit circle
DESCRIPTION
THE UNIT CIRCLE. From Geometry. if 2s = 1. 2s. 60 o. s. s = ½. 30 o. 90 o. (0, 1). 60 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o. 150 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o. 210 o. 30 o. 90 o. (1, 0). (-1, 0). (0, -1). (0, 1). 60 o. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/1.jpg)
THE UNIT CIRCLE
![Page 2: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/2.jpg)
2s
s
3s
30o 90o
60oif 2s = 1
s = ½
233 s
21
23
1
![Page 3: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/3.jpg)
30o 90o
60o
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
1,
2
3
(1, 0)(-1, 0)
(0, 1)
(0, -1)
21
23
1
![Page 4: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/4.jpg)
30o 90o
60o
2
1,
2
3
2
1,
2
3
2
1,
2
3
(1, 0)(-1, 0)
(0, 1)
(0, -1)
21
23
1150o
2
1,
2
3
![Page 5: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/5.jpg)
30o 90o
60o
2
1,
2
3
2
1,
2
3
2
1,
2
3
(1, 0)(-1, 0)
(0, 1)
(0, -1)
21
23
1210o
2
1,
2
3
![Page 6: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/6.jpg)
30o 90o
60o
2
1,
2
3
2
1,
2
3
2
1,
2
3
(1, 0)(-1, 0)
(0, 1)
(0, -1)
21
23
1
330o
2
1,
2
3
![Page 7: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/7.jpg)
60o 90o
30o
3s
s
2sif 2s = 1
s = ½
233 s
23
21
1
![Page 8: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/8.jpg)
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
60o 90o
(1, 0)(-1, 0)
(0, 1)
(0, -1)
123
21
30o
![Page 9: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/9.jpg)
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
90o
(1, 0)(-1, 0)
(0, 1)
(0, -1)
123
30o
60o
21
120o
![Page 10: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/10.jpg)
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
90o
(1, 0)(-1, 0)
(0, 1)
(0, -1)
123
21
30o
240o
60o
![Page 11: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/11.jpg)
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
90o
(1, 0)(-1, 0)
(0, 1)
(0, -1)
123
21
30o
300o
60o
![Page 12: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/12.jpg)
45o
45o 90o
2s
s
sif
21s12 s
22s
22
22
1
![Page 13: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/13.jpg)
45o
45o 90o
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
22
22
1
![Page 14: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/14.jpg)
45o
45o 90o
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
22
22
1135o
![Page 15: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/15.jpg)
45o
45o 90o
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
22
22
1225o
![Page 16: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/16.jpg)
45o
45o 90o
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
22
22
1
315o
![Page 17: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/17.jpg)
2x
x
3x
30o 90o
60o
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
60o 90o
30o
3x
x
2x45o
45o 90o
x
x
2x
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
Putting it Together
![Page 18: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/18.jpg)
300
450
600900
1200
1350
1500
1800
2100
2250
2400
2700
3000
3150
3300
00 , 3600
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
![Page 19: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/19.jpg)
300
600900
1200
1500
1800
2100
2400
2700
3000
3300
00 , 3600
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
(1, 0)(-1, 0)
(0, 1)
(0, -1)
Walking around by
30o
![Page 20: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/20.jpg)
450
900
1350
1800
2250
2700
3150
00 , 3600
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)
Walking around by
45o
![Page 21: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/21.jpg)
6001200
1800
2400 3000
00 , 3600
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
(1, 0)(-1, 0)
Walking around by
60o
![Page 22: THE UNIT CIRCLE](https://reader038.vdocument.in/reader038/viewer/2022110102/56814300550346895daf55a5/html5/thumbnails/22.jpg)
300
450
600900
1200
1350
1500
1800
2100
2250
2400
2700
3000
3150
3300
00 , 3600
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
1,
2
3
2
3,2
1
2
3,2
1
2
3,2
1
2
3,2
1
2
2,
2
2
2
2,
2
2
2
2,
2
2
2
2,
2
2
(1, 0)(-1, 0)
(0, 1)
(0, -1)