
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
The following statements:
1. The tangent function $y = \tan x$ is an increasing function in its domain;
2. The function $f(x) = \cos \left( \frac{2}{3}x + \frac{\pi}{2} \right)$ is an odd function;
3. $x= \frac{\pi}{8}$ is the equation of an axis of symmetry for the function $y = \sin (2x+ \frac{5}{4}\pi)$;

Indicate the correct statements. Write down the numbers of all correct answers.

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