
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
Given the function $f(x)=\cos (ωx+ \frac {π}{3})$, where $(ω > 0,0 < φ < π)$, and $x∈R$. The distance between the adjacent symmetry axes of the graph is $\frac {π}{2}$.
(1) Find the equation of the symmetry axes and the interval where the function is monotonically increasing.
(2) Find the maximum and minimum values of $f(x)$, and specify the sets of $x$ values for which $f(x)$ attains these maximum and minimum values.

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