
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 line $l$ are given by $\begin{cases} x=2-\sqrt{3}t \\ y=t \end{cases}$ $(t\text{ is a parameter})$, and the equation of circle $C$ is $x^2+y^2=4$. Establish a polar coordinate system with the coordinate origin $O$ as the pole and the non-negative semi-axis of the $x$-axis as the polar axis.

(I) Determine the polar equations of line $l$ and circle $C$;

(II) Determine the polar coordinates of the intersection points of line $l$ and circle $C$ (require $\theta \in [0,2\pi)$).

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