
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
In $\triangle ABC$, angles $A$, $B$, $C$ correspond to sides $a$, $b$, $c$ respectively, with $B= \dfrac {\pi}{3}$, and $b=3 \sqrt {3}$, $a=2$.
(1) Find $\sin 2A$;
(2) Find the area of $\triangle ABC$.

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