
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 this question, full marks are 12 points) In $\triangle ABC$, it is known that $AB = \sqrt{3}$, $BC = 2$.  
   (I) If $\cos B = -\frac{1}{2}$, find the value of $\sin C$;  
   (II) Determine the range of values for angle $C$.

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