
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Below is the graph of $y = c \cos dx$ for some constants $c < 0$ and $d > 0.$ Determine the value of $c.$

[asy]import TrigMacros;

size(400);

real h(real x)
{
	return (-3*cos(x/4));
}

draw(graph(h,-4*pi,4*pi,n=700,join=operator ..),blue);
trig_axes(-4*pi,4*pi,-4,4,pi/2,1);
layer();
rm_trig_labels(-5, 5, 2);

label("$1$", (0,1), E);
label("$3$", (0,3), E);
label("$-1$", (0,-1), E);
label("$-3$", (0,-3), E);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user