
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
The base of a pyramid is an isosceles acute-angled triangle with a side length \( b \) and a base angle \( \alpha \). All the lateral edges of the pyramid make the same angle \( \beta \) with the plane of the base. Find the area of the cross-section of the pyramid by a plane passing through the apex of the angle \( \alpha \) and the height of the pyramid.

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