
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 rectangular coordinate system xOy, the parametric equations of curve C are $$\begin{cases} x=2+ \sqrt {3}\cos\alpha \\ y= \sqrt {3}\sin\alpha\end{cases}$$ (where α is the parameter), and the equation of line l is y=kx. Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis.

(I) Find the polar equation of curve C.
(II) Curve C intersects line l at points A and B. If |OA|+|OB|=$2\sqrt{3}$, find the value of k.

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