
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
For the function $f(x)=\sin x+\frac{1}{\sin x}$, the following four propositions are given:<br/>① The graph of $f(x)$ is symmetric about the $y$-axis.<br/>② The graph of $f(x)$ is symmetric about the origin.<br/>③ The graph of $f(x)$ is symmetric about the line $x=\frac{π}{2}$.<br/>④ The minimum value of $f(x)$ is $2$.<br/>The numbers of all true propositions are ____.

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