
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 function $f(x) = \cos^4x + \sin^2x$, the following four statements are provided:<br/>① $f(x)$ is an even function<br/>② $\frac{π}{2}$ is a period of the function $f(x)$<br/>③ The function $f(x)$ is decreasing in the interval $(0, \frac{π}{2})$<br/>④ The minimum value of the function $f(x)$ is $\frac{3}{4}$<br/>The correct statements are represented by the numbers: ______.

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