
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
Among the following conclusions:  
\\(①\\) The function \\(y=\sin(k\pi-x)\\) (where \\(k\in\mathbb{Z}\\)) is an odd function;  
\\(②\\) The graph of the function \\(y=\tan(2x+\frac{\pi}{6})\\) is symmetric about the point \\((\frac{\pi}{12},0)\\);  
\\(③\\) One axis of symmetry for the graph of the function \\(y=\cos(2x+\frac{\pi}{3})\\) is \\(x=-\frac{2\pi}{3}\\);  
\\(④\\) If \\(\tan(\pi-x)=2\\), then \\(\cos^2x=\frac{1}{5}\\).  
The correct conclusions are \_\_\_\_\_\_ \\((\\)Fill in all the correct conclusion numbers\\()\\).

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