
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 correct propositions among the following:
\\(①\\) The function \\(y=\sin |x|\\) is not a periodic function;
\\(②\\) The function \\(y=\tan x\\) is an increasing function within its domain;
\\(③\\) The function \\(y=|\cos 2x|\\) has a period of \\( \frac {π}{2}\\);
\\(④\\) One of the symmetry centers of \\(y=\sin (2x+ \frac {π}{3}) (x \in R)\\) is \\((- \frac {π}{6}, 0)\\).

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