
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 truncated cone is circumscribed around a sphere, with the area of one base being four times larger than the area of the other base. Find the angle between the generatrix of the cone and the plane of its base.


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