
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 $f(x)=2\cos (x+ \frac {π}{3})[\sin (x+ \frac {π}{3})- \sqrt {3}\cos (x+ \frac {π}{3})]$.
(1) Find the range and the minimum positive period of $f(x)$;
(2) Find the range of real numbers $m$ such that the equation $m[f(x)+ \sqrt {3}]+2=0$ has a solution in $x∈[0, \frac {π}{6}]$.

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