
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 lateral edge of a regular quadrilateral truncated pyramid is equal to the side of the smaller base and is equal to \( a \). The angle between the lateral edge and the side of the larger base is \( \alpha \). Find the area of the diagonal section of the truncated pyramid.

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