
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 acute triangle ABC, the sides corresponding to angles A, B, and C are a, b, and c respectively. Given that sin(2A + $\frac {π}{2}$) - cos(B + C) = -1 + 2cosA.

1. Find the measure of angle A.
2. If the area of triangle ABC is S = 3$\sqrt {3}$, and b = 3, find the value of sinC.

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