
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 $xOy$, the parametric equations of a circle with center $C$ are given by 
$$
\begin{cases} 
x = \sqrt {3} + \cos \theta \\ 
y = 1 + \sin \theta 
\end{cases}
$$
($\theta$ is the parameter). If we establish a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, find the polar coordinates of the circle center $C$.

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