Graph a Harmonic Function and its Polynomial Match

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cap.r
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Hello I am appealing to the computer savvy bunch here and asking for a graph.

I need the graph to show a function that is of the form (Acos(x)+Bsin(X)) it can be simple... just anything harmonic I dont' even need the function you can just draw it. and then I need a polynomial that has the same zeros.

again this just needs to look good, the math doesn't have to be correct you can Photoshop it if that's easier. I have included my drawing of it by hand.
http://img822.imageshack.us/img822/6787/poly.jpg

Uploaded with ImageShack.us

any help would be much appreciated. thank you.
 
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Hello i suggest you to use gnuplot...you can plot any function..and export to jpg or eps or pdf..
have a look at the attachment..one is f2(x)=sin(x) and other is f(x)=2sin(x).
 

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