
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, the parametric equation of circle C is given (with $\theta$ as the parameter). Find the standard equation of circle C and, using the origin O as the pole and the positive x-axis as the polar axis, establish a polar coordinate system to find the polar coordinates of the center of circle C.

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