
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 vectors $\overrightarrow{m}=(\sin (x- \frac {\pi}{3}),1)$ and $\overrightarrow{n}=(\cos x,1)$,
(1) If $\overrightarrow{m}$ is parallel to $\overrightarrow{n}$, find the value of $\tan x$.
(2) If $f(x)= \overrightarrow{m} \cdot \overrightarrow{n}$, where $x\in[0, \frac {\pi}{2}]$, find the maximum and minimum values of $f(x)$.

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