
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
1. The function $y=\tan x$ is strictly increasing on its domain;
2. If acute angles $\alpha$ and $\beta$ satisfy $\cos \alpha > \sin \beta$, then $\alpha + \beta < \frac{\pi}{2}$;
3. The function $f(x)$ is an even function defined on $[-1,1]$ and is increasing on $[-1,0]$. If $\theta \in (0,\frac{\pi}{4})$, then $f(\sin \theta) > f(\cos \theta)$;
4. The function $y=4\sin(2x-\frac{\pi}{3})$ has a symmetry center at $(\frac{\pi}{6}, 0)$.

Identify the sequence number(s) of the true statement(s).

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