
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, the sides opposite to angles A, B, and C are a, b, and c, respectively. Given vectors $\overrightarrow {m}=(2\sin B，- \sqrt {3})$ and $\overrightarrow {n}=(\cos 2B，2\cos^{2} \frac {B}{2}-1)$, and $\overrightarrow {m}$ is parallel to $\overrightarrow {n}$.
(1) Find the measure of acute angle B;
(2) If b=2, find the maximum area of triangle ABC.

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