
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 sides of a parallelogram are \(a\) and \(b\) (where \(a < b\)). The smaller diagonal forms an obtuse angle with the smaller side and an angle \(\alpha\) with the larger side. Find the length of the larger diagonal of the parallelogram.

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