
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
In a circle, a diameter \(AB\) and a chord \(CD\) parallel to it are drawn such that the distance between them is half the radius of the circle. Find the angle \( \angle CAB \).

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