
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
Let $f(x) = \cos(\omega x + \varphi)$ (where $\omega > 0$, $|\varphi| < \frac{π}{2}$). If the distance between the axis of symmetry $x = \frac{π}{6}$ of the graph of the function $y = f(x)$ and its center of symmetry is $\frac{π}{8}$, then $f(x) = \_\_\_\_\_\_$.

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