Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions...
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Transcript of Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions...
Notes Over 6.4 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 6.4 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 6.4 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 6.4 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 6.4 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 6.4 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 6.4 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 6.4 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 6.4Translations of Trigonometric GraphsTranslations of Trigonometric GraphsTranslation of a Sine Function
xy sin
2
2
3 2
1
1
1Amplitude
Period2
11
Notes Over 6.4Translations 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 6.4Graphing a Vertical TranslationGraphing a Vertical TranslationGraph the function.
xy cos2 .7
2
2
3 2
1
3
1Amplitude
Period 2
Translationdown 2
Notes Over 6.4Graphing a Vertical TranslationGraphing a Vertical TranslationGraph the function.
xy sin3 .8
2
2
3 2
4
2
1Amplitude
Period 2
Translationup 3
Notes Over 6.4Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
xy sin .9
2
2
3
1
1
Amplitude
Period
Translationright
2
1
2
Notes Over 6.4Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
xy cos .10
2
2
3
1
1
Amplitude
Period
Translationleft
2
1
2
Notes Over 6.4Graphing a Horizontal TranslationGraphing a Horizontal TranslationGraph the function.
2cos3 .11
xy
2
2
3
3
3
Amplitude
Period
Translationright
2
3
2
Notes Over 6.4Graphing 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 6.4Graphing 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