Math Is Fun Forum

Anduin

Member

Registered: 2018-05-29

Posts: 3

Precalc Problem

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]