
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
Consider the following five statements:

1. The smallest positive period of the function $y = \sin^4{x} - \cos^4{x}$ is $\pi$.
2. The set of angles whose terminal sides lie on the y-axis is ...
3. In the same coordinate system, the graph of the function $y = \sin{x}$ and the graph of the function $y = x$ have 3 points in common.
4. The graph of the function $y = 3\sin{x}$ can be shifted to the right to produce the graph of the function $y = 3\sin{2x}$.
5. The function $y = \sin{x}$ is decreasing on the interval $[0, \pi]$.

Among these, the true statements are identified by the following numbers: ______. (Write down all the numbers of the true statements.)

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