
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
Given proposition $p$: $\alpha=\beta$ is the necessary and sufficient condition for $\tan \alpha=\tan \beta$. Proposition $q$: $\varnothing \subseteq A$. Among the following propositions, the true ones are ______.

$(1)$ $p$ or $q$　$(2)$ $p$ and $q$　$(3)$ $\neg p$　$(4)$ $\neg q$.

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