12 x1 t03 02 graphing trig functions (2013)
TRANSCRIPT
![Page 1: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/1.jpg)
Graphing Trig Functions
![Page 2: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/2.jpg)
Graphing Trig Functions
1) Sine Curve
![Page 3: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/3.jpg)
Graphing Trig Functions
y1
-1
1) Sine Curve
![Page 4: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/4.jpg)
Graphing Trig Functions
y
x
1
-1
1) Sine Curve
2 3 42
![Page 5: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/5.jpg)
Graphing Trig Functions
y
x
1
-1
1) Sine Curve
2 3 42
![Page 6: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/6.jpg)
Graphing Trig Functions
y
x
1
-1
1) Sine Curve
2 3 42
![Page 7: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/7.jpg)
Graphing Trig Functions
y
x
1
-1
1) Sine Curve
2 3 42
![Page 8: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/8.jpg)
Graphing Trig Functions
y
x
sin xy 1
-1
1) Sine Curve
2 3 42
![Page 9: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/9.jpg)
Graphing Trig Functions
y
x
sin xy 1
-1
1) Sine Curve
2 3 42
x real all:domain
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Graphing Trig Functions
y
x
sin xy 1
-1
1) Sine Curve
2 3 42
x real all:domain11-:range y
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Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
period
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Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
In general;
sin cbxay
units 2 periodb
period
![Page 13: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/13.jpg)
Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
In general;
sin cbxay
units 2 periodb
periodamplitude
![Page 14: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/14.jpg)
Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
In general;
sin cbxay
units 2 periodb
units amplitude a
periodamplitude
![Page 15: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/15.jpg)
Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
In general;
sin cbxay
units 2 periodb
units amplitude a
periodamplitude
4period divisions
![Page 16: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/16.jpg)
Graphing Trig Functions
y
x
sin xy
x real all:domain11-:range y
1
-1
1) Sine Curve
2 3 42
In general;
sin cbxay
units 2 periodb
units amplitude a
periodamplitude
4period divisions
left toshift bc
![Page 17: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/17.jpg)
e.g.
29sin5 xy
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e.g.
29sin5 xy
units 9
2 period
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e.g.
29sin5 xy
units 9
2 period
units 5amplitude
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e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
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e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
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e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y5
-5 9
92
9
x
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e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y5
-5 9
92
9
x
![Page 24: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/24.jpg)
e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y5
-5 9
92
9
x
![Page 25: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/25.jpg)
e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y5
-5 9
92
9
x
![Page 26: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/26.jpg)
e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y5
-5 9
92
9
x
![Page 27: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/27.jpg)
e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y
29sin5
xy5
-5 9
92
9
x
![Page 28: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/28.jpg)
2) Cosine Curve
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2) Cosine Curve cos cbxay
![Page 30: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/30.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
![Page 31: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/31.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a
![Page 32: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/32.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
![Page 33: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/33.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
![Page 34: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/34.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
![Page 35: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/35.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
![Page 36: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/36.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
![Page 37: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/37.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
![Page 38: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/38.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
![Page 39: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/39.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
![Page 40: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/40.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
![Page 41: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/41.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
![Page 42: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/42.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
![Page 43: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/43.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
![Page 44: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/44.jpg)
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
4 amplitude
4divisions
down upsideup,2left,to8shift
y
6
-2 8 168 x
2
28
cos4
xy
![Page 45: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/45.jpg)
3) Tangent Curve
![Page 46: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/46.jpg)
3) Tangent Curve tan cbxay
![Page 47: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/47.jpg)
3) Tangent Curve tan cbxay
units periodb
![Page 48: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/48.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
![Page 49: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/49.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
![Page 50: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/50.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
![Page 51: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/51.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
![Page 52: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/52.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
![Page 53: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/53.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift
![Page 54: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/54.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift y
1 2 x
![Page 55: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/55.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift y
1 2 x
![Page 56: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/56.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift y
1 2 x
![Page 57: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/57.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift y
1 2 x
2tan xey
![Page 58: 12 x1 t03 02 graphing trig functions (2013)](https://reader035.vdocuments.us/reader035/viewer/2022062420/55baf511bb61eb506c8b475b/html5/thumbnails/58.jpg)
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift y
1 2 x
2tan xey
Exercise 14C; 2b, 3b,4b, 5bce, 8, 9, 10b, 13,
15, 16, 17, 20