
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]


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(For this question, full score is 10 points) Elective 4-4: Coordinate System and Parametric Equations:  
It is known that the parametric equation of circle C is (φ is the parameter);  
(1) Convert the parametric equation of circle C into the standard equation in the Cartesian coordinate system;  
(2) Taking the origin O of the Cartesian coordinate system as the pole and the positive half-axis of the x-axis as the polar axis, establish a polar coordinate system, and convert the standard equation of circle C from (1) into a polar coordinate equation; assuming the intersection of circle C and the positive half-axis of the polar axis is point A, write the polar coordinate equation of the line passing through point A and perpendicular to the polar axis.

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