
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 $$\begin{cases} \overset{x=3+2cos\theta }{y=2sin\theta }\end{cases}$$ (where θ is the parameter), and the line l: y=kx (x≥0) intersects the curve C at points A and B. 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.

1. Find the polar equation of the curve C.
2. Find the maximum value of $$\frac {1}{|OA|}$$ + $$\frac {1}{|OB|}$$.

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