
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 an isosceles triangle is \(a\), and the angle at the vertex is \(\alpha\). Find the length of the angle bisector drawn to the lateral side.

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