
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
Which of the following statements is correct:

1. The circumference of a sector is 8cm, and the area is 4cm², then the central angle of the sector is 2 radians.
2. The function $y = \cos(\frac{3}{2}x + \frac{\pi}{2})$ is an odd function.
3. If $\alpha$ is an angle in the third quadrant, then the value of $y = \frac{|\sin\frac{\alpha}{2}|}{\sin\frac{\alpha}{2}} + \frac{|\cos\frac{\alpha}{2}|}{\cos\frac{\alpha}{2}}$ is 0 or -2.
4. If $\sin\alpha = \sin\beta$, then the terminal sides of $\alpha$ and $\beta$ are the same.
5. The minimum value of $y = 2\sin\frac{3}{2}x$ in the interval $[\frac{-\pi}{3}, \frac{\pi}{2}]$ is -2, and the maximum value is $\sqrt{2}$.
6. If $\alpha$ and $\beta$ are angles in the first quadrant and $\alpha < \beta$, then $\tan\alpha < \tan\beta$.

Write out all the correct answers.

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