
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 $a$, $b$, and $c$ are the sides opposite to angles A, B, and C respectively in $\triangle ABC$, and $b^2 + c^2 = a^2 + \sqrt{3}bc$.

(I) Find A;

(II) If $a=2$, $b=1$, find $\sin(C-A)$.

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