
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
Find the minimum value of $\sin\frac{A}{2} + \cos\frac{A}{2}$.
- **A) -\sqrt{2} at $A = 0^\circ$**
- **B) \sqrt{2} at $A = 90^\circ$**
- **C) -\sqrt{2} at $A = 450^\circ$**
- **D) 0 at $A = 180^\circ$**

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