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**Anduin****Member**- Registered: 2018-05-29
- Posts: 3

Hi! This problem has also been giving me trouble. I am looking for either hints or a solution to this problem. Everything is greatly appreciated. Thank you!

Below is the graph of

, where , , and are positive, and is as small as possible. Find .[asy]

import TrigMacros;

size(400);

real g(real x)

{

return -2*sin(2*(x/3 + pi/4))+1;

}

trig_axes(-3*pi,3*pi,-2,4,pi/2,1);

//layer();

rm_trig_labels(-5, 5, 2);

draw(graph(g,-3*pi,3*pi,n=700,join=operator ..));

label("$1$",(0,1),W);

[/asy]

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