Sec. 6.3 Trigonometric Graphs · 2012-05-23 · Sec63NotesDone.notebook May 23, 2012 Sec. 6.3...

Sec63NotesDone.notebook May 23, 2012

Sec. 6.3 Trigonometric GraphsWeb site for Trig Applets

http://www.ies.co.jp/math/java/trig/index.htmlTry the following:Graph of y=sin(x)Graph of y=cos(x)

Web site to graph lots of functionshttp://math.hws.edu/xFunctions/

Use “Multigraph Utility” to explore graph transformations

Trig Applets

Multigrapher

Graph y=sin(x) Graph y=cos(x)

http://www.math.osu.edu/~maharry/GeoGebra/GraphsOfSineCosTanByDefinition.html

Definitions of Sine Cosine and Tangent Functions

Pi/2 Pi 3*Pi/2 2*Pi

Pi/2 Pi 3*Pi/2 2*Pi

http://www.ies.co.jp/math/java/trig/index.html

http://math.hws.edu/xfunctions/

http://www.math.osu.edu/~maharry/geogebra/graphsofsinecostanbydefinition.html


Transformations on Trig Functions


Sec. 6.3 Trigonometric GraphsWeb site for Trig Applets

http://www.ies.co.jp/math/java/trig/index.htmlTry the following:Graph of y=sin(ax)

How does the factor of ‘a’ change the graph?

Trig Applets



Sec. 6.3 Trigonometric GraphsSine and Cosine Functions oscillate up and down repeating over and over. The height they rise and fall from the middle is “Amplitude”, then time it takes them to repeat is “Period”


Transformations of Sine Functions

Sec. 6.3 Trigonometric GraphsGraph the following: List amplitude period and phase shift and draw at least one complete period of the

graph.



graph.


graph.


Sec. 6.3 Trigonometric GraphsFind an equation for the following graph. Think about

amplitude, phase shift and the period.






Sec. 6.3 Trigonometric GraphsGraph the following functions to see what happens. What is the new period? What is the amplitude?

Attachments

Trig Applets

Multigrapher


http://math.hws.edu/xFunctions/

Sec. 6.3 Trigonometric Graphs · 2012-05-23 · Sec63NotesDone.notebook May 23, 2012 Sec. 6.3...

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