
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 the curve C are given by $$\begin{cases} x=1+2cos\alpha \\ y=2sin\alpha \end{cases}$$ (where α is the parameter, and the line l: y=kx (k>0). Establish a polar coordinate system with O as the pole and the positive half of the x-axis as the polar axis.
(I) Find the polar equation of the curve C;
(II) If the line l intersects the curve C at points A and B, find the value of |OA|•|OB|.

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