
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 $$f(x)=4\tan(x)\sin\left( \frac {\pi}{2}-x\right)\cos\left(x- \frac {\pi}{3}\right)- \sqrt {3}$$;  
(1) Find the domain and the smallest positive period of $f(x)$;  
(2) Determine the monotonicity and the extremum of $f(x)$ in the interval $$\left[- \frac {\pi}{4}, \frac {\pi}{4}\right]$$.

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