
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 triangle ABC has ∠B = 90°. The point D is taken on the ray AC, the other side of C from A, such that CD = AB. The ∠CBD = 30°. Find AC/CD.

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