
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
Given the parametric equation of curve C as $$\begin{cases} x=3+2cos\alpha \ y=1-2sin\alpha \end{cases}$$ (where α is the parameter), establish a polar coordinate system with the origin of the rectangular coordinate system as the pole, the non-negative half of the x-axis as the polar axis, and the same unit length.

1. Find the polar equation of curve C and explain what trajectory it represents.
2. If the polar equation of line l is $sinθ-2cosθ= \frac {1}{\rho }$, find the maximum distance from the points on curve C to line l.

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