Notes Over 13.7 & 13.8 Graph Sine, Cosine FunctionsGraph Sine, Cosine Functions
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Notes Over 13.7 & 13.8
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