The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius...
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Transcript of The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius...
![Page 1: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/1.jpg)
The Unit CircleDr. Shildneck
Fall, 2014
![Page 2: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/2.jpg)
The Unit Circle
• The Unit Circle is a circle of radius 1-unit.
• Since angles have the same measure regardless of the size of their terminal side, we generally speak about their trigonometric ratios by using angles as they rotate around a unit circle.
![Page 3: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/3.jpg)
Special Angles
0o
90o
180o
270o
360o
30o
45o
150o
135o
225o 240o
330o
315o
60o 120o
210o
300o
![Page 4: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/4.jpg)
Special Right Triangles
30 – 60 – 90
45 – 45 – 90
1
2
3
1
1
2
x 2
x 3
x 2
=
![Page 5: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/5.jpg)
Trig Values on the Unit Circle
11
1 1
![Page 6: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/6.jpg)
Trig Values on the Unit Circle
1
![Page 7: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/7.jpg)
Trig Values on the Unit Circle
11
1 1
![Page 8: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/8.jpg)
Trig Values on the Unit Circle
1
![Page 9: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/9.jpg)
Trig Values on the Unit Circle
11
1 1
![Page 10: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/10.jpg)
Completing the Unit Circle
• Know the patterns for 45’s
• Know the patterns for 60’s
• Know the SIGNS (cosine – x, sine – y)
![Page 11: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/11.jpg)
Completing the Table
• Know the Unit Circle (sines and cosines)
• Find Tangent (y/x = sine/cosine)
• Know Reciprocals
![Page 12: The Unit Circle Dr. Shildneck Fall, 2014. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless.](https://reader033.fdocuments.net/reader033/viewer/2022061418/56649f415503460f94c60a99/html5/thumbnails/12.jpg)
Assignment
1) Complete Unit Circle2) Complete Table
Practice more than onceDownloadable on Blog