
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
Regarding the function $f(x)=4\sin(2x+)$ (where $x \in \mathbb{R}$), the following statements are made:

(1) The expression for $y=f(x)$ can be rewritten as $y=4\cos(2x - )$; (2) $y=f(x)$ is a periodic function with a minimum positive period of $2\pi$; (3) The graph of $y=f(x)$ is symmetric about the point $(- ,0)$; (4) The graph of $y=f(x)$ is symmetric about the line $x= - $; Among these, the correct statement numbers are ______________.

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