
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
Based on the unit circle, make the following four judgments, among which the correct ones are __________  
① $\sin \frac{\pi}{6} = \sin \frac{7\pi}{6}$;  ② $\cos(-\frac{\pi}{4}) = \cos \frac{\pi}{4}$;  ③ $\tan \frac{\pi}{8} > \tan \frac{3\pi}{8}$;  ④ $\sin \frac{3\pi}{5} > \sin \frac{4\pi}{5}$.

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