sin & cos graphs
DESCRIPTION
Sin & Cos Graphs. Let’s explore the sine graph!. http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees.html http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees_plus.html. y = sin Ѳ. 0. Let’s explore the cosine graph. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/1.jpg)
Sin & Cos Graphs
![Page 2: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/2.jpg)
Let’s explore the sine graph!
http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees.html
http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees_plus.html
![Page 3: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/3.jpg)
y = sin Ѳ
0 2
3
2
22
3
2
2
![Page 4: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/4.jpg)
Let’s explore the cosine graph.
http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_degrees_plus.html
http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_rad.html
![Page 5: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/5.jpg)
y = cos Ѳ
0 2
3
2
22
3
2
2
![Page 6: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/6.jpg)
Let’s graph it on the calculator.
Make sure the calculator is in radian mode Type sin(x) in y1 Press zoom trig
Now let’s look at y = cos(x).
![Page 7: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/7.jpg)
Transformations of Sine & Cosine Graphs
![Page 8: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/8.jpg)
Transformation of sine
http://www.geogebra.org/en/upload/files/english/Roger_Moss/curve_transformations.html
![Page 9: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/9.jpg)
y= A sin (kѲ+c) + d Amplitude = (A)
Period =
Phase Shift =
2
k
c
k
![Page 10: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/10.jpg)
3sin 2y
![Page 11: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/11.jpg)
sin 4 3y
![Page 12: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/12.jpg)
2sin4
y
![Page 13: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/13.jpg)
3sin 22 4
y
![Page 14: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/14.jpg)
4cos 2y
![Page 15: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/15.jpg)
2cos 12
y
![Page 16: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/16.jpg)
Write the equation of the sine function with the following features.
Amplitude = 5 Period = 90° PS = 4°
![Page 17: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/17.jpg)
Write the equation of the sine function with the following features.
Amplitude = 4
Period =
PS =
4
![Page 18: Sin & Cos Graphs](https://reader035.vdocuments.net/reader035/viewer/2022081419/5681351e550346895d9c7dc4/html5/thumbnails/18.jpg)
Homework
Worksheet #1