
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
Determine the maximum number of points an arbitrary circle can intersect the graph of $y = \cos x$. The circle's equation is $(x - 4)^2 + y^2 = 25$.
A) At most 2 points
B) At most 4 points
C) At most 6 points
D) At most 8 points
E) More than 16 points

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