
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
If the function f(x) = tan(ωx + φ) (where ω > 0 and |φ| < $\frac {π}{2}$) has a monotonic interval ($\frac {-π}{3}$, $\frac {π}{6}$), and f(0) = $\frac {\sqrt {3}}{3}$, then find f($\frac {π}{12}$).

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