
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
If the terminal sides of angles _α_ and _β_ satisfy the following positional relationships, try to write the relationship between _α_ and _β_:

(1) Coincide: _______________________;

(2) Symmetric about the _x_-axis: _______________________.

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