
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 which of the following conditions (fill in the numbers) are satisfied by $y=\tan \left(\frac {x}{2}\right)$: ____
① Domain is $\{x|x\neq \frac {\pi}{4}+k\frac {\pi}{2}, k\in \mathbb{Z}\}$;
② The minimal positive period is $\pi$;
③ The function is an odd function;
④ Monotonically increasing in the interval $(0, \frac {\pi}{2})$;
⑤ Symmetrical about the point $(k\pi, 0)$ for $k\in \mathbb{Z}$.

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