
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 statements, the correct ones are \_\_\_\_\_\_.
\\(①\\) The set of angles whose terminal sides fall on the _\\(y\\)_ axis is \\(\\left\\{α|α= \\dfrac{kπ}{2},k∈Z\\right\\} \\);  
\\(②\\) A center of symmetry for the graph of the function \\(y=2\\cos \\left(x- \\dfrac{π}{4}\\right) \\) is \\(\\left( \\dfrac{3π}{4},0\\right) \\);  
\\(③\\) The function _\\(y\\)_\\(=\\) _\\(\\tan x\\)_ is increasing in the first quadrant;  
\\(④\\) To obtain the graph of the function _\\(y\\)_\\(=\\) _\\(\\sin \\)_\\((2 \\)_\\(x\\)_\\(- \\dfrac{π}{3} )\\), it is only necessary to shift the graph of the function _\\(y\\)_\\(=\\) _\\(\\sin \\)_\\(2\\) _\\(x\\)_ to the right by \\( \\dfrac{π}{6} \\) units.

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