
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 \\(\{\alpha |\alpha =\dfrac{k\pi }{2},k\in \mathbb{Z}\}\)；

\\(②\\) A center of symmetry of the graph of the function \\(y=2\cos (x-\dfrac{\pi }{4})\\) is \\((\dfrac{3\pi }{4},0)\\)；  
\\(③\\) The function \\(y=\tan x\\) is increasing in the first quadrant；  

\\(④\\) To obtain the graph of the function \\(y=\sin (2x- \dfrac{\pi}{3} )\\), it is only necessary to shift the graph of the function \\(y=\sin 2x\\) to the right by \\(\dfrac{\pi }{6}\\) units.

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