
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
A segment of a line connecting a point on the circumference of the top base of a cylinder to a point on the circumference of the bottom base is equal to \( l \) and makes an angle \( \alpha \) with the plane of the base. Find the distance from this line segment to the axis of the cylinder, given that the axial cross-section of the cylinder is a square. What are the possible values of \( \alpha \)?

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