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

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