
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
There are six propositions:

\\(①\\) The function \\(f(x) = 2^x + 2^{-x}\\) is an even function;

\\(②\\) If the angle between vectors \\(\overrightarrow{a}\\) and \\(\overrightarrow{b}\\) is \\(\theta\\), then \\(\cos \theta = \frac{\overrightarrow{a} \cdot \overrightarrow{b}}{|\overrightarrow{a}||\overrightarrow{b}|}\\);

\\(③\\) If the starting point of vector \\(\overrightarrow{AB}\\) is \\(A(-2,4)\\) and the endpoint is \\(B(2,1)\\), then the cosine of the angle between vector \\(\overrightarrow{BA}\\) and the positive direction of the \\(x\\)-axis is \\(\frac{4}{5}\\);

\\(④\\) The set of angles whose terminal side lies on the \\(y\\)-axis is \\(\{\alpha |\alpha =\frac{k\pi }{2},k\in \mathbb{Z}\}\\);

\\(⑤\\) Shifting the graph of the function \\(y=3\sin (2x+\frac{\pi }{3})\\) to the right by \\(\frac{\pi}{6}\\) results in the graph of \\(y=3\sin 2x\\);

\\(⑥\\) The function \\(y=\sin (x-\frac{\pi}{2})\\) is a decreasing function on the interval \\([0,\pi]\\).

Among these, the numbers of the true propositions are __________. (Write down all the numbers of the true propositions)

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