
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 △ABC, the sides opposite to angles A, B, C are a, b, c, respectively, and 2sin<sup>2</sup>(B+C) - 3cosA = 0.
(1) Find the measure of angle A;
(2) If B = π/4, a = 2√3, find the length of side c.

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