Tuesday, June 9, 2009

Sinusoidal Functions Review

There are a number of ways to approach the sinusoidal/periodic function. We were taught to use either GRAPHMATICA or a graphing calculator.


The periodic function equation is y=Asin(Bx+C)+D and that is what you will input into the software of your choice.

A=Amplitude
B=Period (formula for period P=2(pi)/B)
C=Phase shift
D=Verticle shift

Here is a site that demonstrates those values (very usefefull to play around with it)
-http://www.ronblond.com/M12/sc.APPLET/index.html

If you are given the sinusoidal function(periodic function) and want to graph it using a calculator
1. press[mode] and make sure that it is on radian NOT degrees
2. press [y=] and input the formula Asin(Bx+C)+D (substitue numbers)
3. press [graph] and behold the squiggly lines
-you may want to adjust the windows setting to get a better picture

If the information is given in tabular data then you will have to use something called SinReg
1. press [stat] and put the data into a list
2. press [stat]-> calc then go down to something called SinReg
3. back at the home screen put in SinReg,L1,L2,Y1
4. turn on the stat plot ([2nd y=]) and press graph


And that my friends is periodic functions in a nut shell.

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