notes over 13.7 & 13.8 graph sine, cosine functions
TRANSCRIPT
![Page 1: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/1.jpg)
Notes Over 13.7 & 13.8 Graph Sine, Cosine FunctionsGraph Sine, Cosine Functions
![Page 2: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/2.jpg)
Notes Over 13.7 & 13.8 Graph Sine, Cosine, and Tangent FunctionsGraph Sine, Cosine, and Tangent FunctionsEquation of a Sine Function
xy sin
2
2
3 2
1
1
1Amplitude
2 12
PeriodComplete Cycle
1
22
2
![Page 3: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/3.jpg)
Notes Over 13.7 & 13.8 Graphing a Sine FunctionsGraphing a Sine FunctionsDraw one cycle of the function’s graph.
xy 2sin .1
1
2
2
Amplitude
Period
4
2
4
3
1
1
![Page 4: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/4.jpg)
Notes Over 13.7 & 13.8 Graphing a Sine FunctionsGraphing a Sine FunctionsDraw one cycle of the function’s graph.
xy sin4 .2
4
1
2
Amplitude
Period
2
2
2
3 2
4
4
![Page 5: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/5.jpg)
Notes Over 13.7 & 13.8 Graphing a Sine FunctionsGraphing a Sine FunctionsDraw one cycle of the function’s graph.
xy 4sin3 .3
3
4
2
Amplitude
Period
2
8
4
8
32
3
3
![Page 6: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/6.jpg)
Notes Over 13.7 & 13.8 Graph Sine, Cosine, and Tangent FunctionsGraph Sine, Cosine, and Tangent FunctionsEquation of a Cosine Function
xy cos
2
2
3 2
1
1
1Amplitude
2 12
PeriodComplete Cycle
1
22
2
![Page 7: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/7.jpg)
Notes Over 13.7 & 13.8 Graphing a Cosine FunctionsGraphing a Cosine FunctionsDraw one cycle of the function’s graph.
xy 3cos .4
1
3
2
Amplitude
Period 6
3
2
3
2
1
1
![Page 8: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/8.jpg)
Notes Over 13.7 & 13.8 Graphing a Cosine FunctionsGraphing a Cosine FunctionsDraw one cycle of the function’s graph.
xy 2cos2 .5
2
2
2
Amplitude
Period 4
12
1
4
3 1
2
2
1
![Page 9: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/9.jpg)
Notes Over 13.7 & 13.8 Graphing a Cosine FunctionsGraphing a Cosine FunctionsDraw one cycle of the function’s graph.
xy 2cos3 .6
3
2
2
Amplitude
Period 4
2
4
3
3
3
![Page 10: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/10.jpg)
Notes Over 13.7 & 13.8 Translations of Trigonometric GraphsTranslations of Trigonometric GraphsTranslation of a Sine Function
xy sin
2
2
3 2
1
1
1Amplitude
Period2
11
![Page 11: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/11.jpg)
Notes Over 13.7 & 13.8 Translations of Trigonometric GraphsTranslations of Trigonometric GraphsTranslation of a Sine Function
siny
2
2
3 2
1
1
1Amplitude
Period2
2
x
2
xx
![Page 12: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/12.jpg)
Notes Over 13.7 & 13.8 Graphing a Vertical TranslationGraphing a Vertical TranslationGraph the function.
xy cos2 .7
2
2
3 2
1
3
1Amplitude
Period 2
Translationdown 2
![Page 13: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/13.jpg)
Notes Over 13.7 & 13.8 Graphing a Vertical TranslationGraphing a Vertical TranslationGraph the function.
xy sin3 .8
2
2
3 2
4
2
1Amplitude
Period 2
Translationup 3
![Page 14: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/14.jpg)
Notes Over 13.7 & 13.8 Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
xy sin .9
2
2
3
1
1
Amplitude
Period
Translationright
2
1
2
![Page 15: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/15.jpg)
Notes Over 13.7 & 13.8 Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
xy cos .10
2
2
3
1
1
Amplitude
Period
Translationleft
2
1
2
![Page 16: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/16.jpg)
Notes Over 13.7 & 13.8 Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
2cos3 .11
xy
2
2
3
3
3
Amplitude
Period
Translationright
2
3
2
![Page 17: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/17.jpg)
Notes Over 13.7 & 13.8 Graphing a ReflectionGraphing a ReflectionGraph the function.
xy cos .12
2
2
3
1
1
2
Amplitude
Period
Reflection over x-axis
1
2
![Page 18: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/18.jpg)
Notes Over 13.7 & 13.8 Graphing a ReflectionGraphing a ReflectionGraph the function.
xy sin2
1 .13
2
2
3
1
1
2
Amplitude
Period
Reflection over x-axis
2
1
2
![Page 19: Notes Over 13.7 & 13.8 Graph Sine, Cosine Functions](https://reader035.vdocuments.us/reader035/viewer/2022081503/5697bfde1a28abf838cb2361/html5/thumbnails/19.jpg)
Notes Over 13.7 & 13.8