
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 triangular pyramid is inscribed in a cone, where the lateral edges of the pyramid are mutually perpendicular in pairs. Find the angle between the generator (slant height) of the cone and its height.

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