
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 the Cartesian coordinate system xOy, find the equation of a circle centered at the origin O that is tangent to the line $x - \sqrt{3}y - 4 = 0$.
1. Determine the equation of circle O.
2. Given a point P(2, 3), draw a tangent line to circle O passing through P. Find the equation of the tangent line.

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