
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
1. Write the angle -1120° in the form of 2kπ+α (k∈Z), where 0≤α<2π.
2. Write the set of angles β that have the same terminal side as the angle α in part 1, and write the angle β in the interval [-4π, 0].

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