
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
How many solutions does the equation \( \cos \left( \frac{\pi}{3} \sin x \right) = \sin \left( \frac{\pi}{3} \cos x \right) \) have in the closed interval \([0, \frac{\pi}{2}]\)?
A) 0
B) 1
C) 2
D) 3

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