
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 $\overrightarrow{m}=(\sin (x- \frac {π}{3})\;,\;1)\;,\; \overrightarrow{n}=(\cos x\;,\;1)$,
(1) If $\overrightarrow{m}//\overrightarrow{n}$, find the value of $\tan x$.
(2) If the function $f(x)= \overrightarrow{m}\cdot \overrightarrow{n}$, $x\in[0\;,\;\frac {π}{2}]$, find the maximum value of the function $f(x)$.

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