
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 angle between two lines that are tangent to the circle \(O: x^{2}+y^{2}=4\) and pass through the point \(A(3, \sqrt{7})\) can be found by determining the angle formed by the lines that are tangent to the circle and pass through the point A.

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