
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 $f(x)=2 \sqrt {3}\sin (wx+ \frac {π}{6})\cos wx(0 < w < 2)$, and the graph of $f(x)$ passes through the point $(\frac {5π}{12}, \frac{\sqrt {3}}{2})$.
(1) Find the value of $w$ and the minimum positive period of the function $f(x)$;
(2) Translate the graph of $y=f(x)$ to the right by $\frac {π}{6}$ units to obtain the graph of the function $y=g(x)$, given that $g(\frac {α}{2})= \frac {5 \sqrt {3}}{6}$, find the value of $\cos (2α- \frac {π}{3})$.

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