
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 $y = a \cos (bx + c)$ for some positive constants $a,$ $b,$ and $c.$ The graph reaches its first maximum at $x = -\frac{\pi}{4}$ and has a maximum value of 3. Determine the values of $a$, $b$, and $c$.

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