
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
Determine the sequence numbers of all correct statements below.

$(①)$ The set of angles whose terminal side lies on the $y$-axis is $\{α|α=\frac{kπ}{2},k∈Z\}$.

$(②)$ The function $y=\sin x$ is increasing in the first quadrant.

$(③)$ The minimum positive period of the function $y=\sin^{4}x-\cos^{4}x$ is $π$.

$(④)$ Translating the graph of the function $y=3\sin (2x+\frac{π}{3})$ to the right by $\frac{π}{6}$ units results in the graph of the function $y=3\sin 2x$.

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