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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
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
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
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
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
e.g.
29sin5 xy
units 9
2 period
units 5amplitude 18
divisions
right to18
shift
y
29sin5
xy5
-5 9
92
9
x
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
2) Cosine Curve cos cbxay
units 2 periodb
unitsamplitude a4
period divisions
left toshift bc
e.g. 28
cos4
xy
16
81
2 period
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
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
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
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
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
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
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
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
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
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
3) Tangent Curve tan cbxay
units periodb
2
period divisions
left toshift bc
e.g. 2tan xey
1
period
21 divisions
rightto2shift
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
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
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
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