
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 that in $\triangle ABC$, $\cos A= \frac{ \sqrt {6}}{3}$, and $a$, $b$, $c$ are the sides opposite to angles $A$, $B$, $C$ respectively.
(1) Find $\tan 2A$;
(2) If $\sin ( \frac {π}{2}+B)= \frac {2 \sqrt {2}}{3}, c=2 \sqrt {2}$, find the area of $\triangle ABC$.

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