
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 a cylinder with a base radius \(r\) and height \(h\), a plane is drawn through a point on the top base of the cylinder such that it forms an angle \(\alpha\) with the base plane, where \(0^{\circ} < \alpha < 90^{\circ}\). Find the equation of the curve formed by the intersection of this cutting plane and the base plane after unfolding the lateral surface of the cylinder into a plane.

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