
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
Given the following statements:
1. The function $y = \tan x$ is an increasing function in the first quadrant.
2. Let $\theta$ be an angle in the second quadrant, then $\tan \frac{\theta}{2} > \cos \frac{\theta}{2}$.
3. In the same Cartesian coordinate system, the graph of the function $y = \sin x$ and the graph of the function $y = x$ have three common points.
4. The minimum value of the function $y = \cos^2 x + \sin x$ is $-1$.
5. The function $y = \sin (x - \frac{\pi}{2})$ is a decreasing function on $[0, \pi]$.

The correct statement(s) is/are _______.

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