
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 equation of line l is $$\begin{cases} \overset{x=tcos\alpha }{y=tsin\alpha }\end{cases}$$ (t is the parameter, α is the inclination angle), and the parametric equation of curve C is $$\begin{cases} \overset{x=4+2cos\beta }{y=2sin\beta }\end{cases}$$ (β is the parameter, β∈\[0，π\] ). Establish a polar coordinate system with the coordinate origin O as the pole and the positive semi-axis of the x-axis as the polar axis.

(I) Write the ordinary equation of curve C and the polar coordinate equation of line l;

(II) If line l and curve C have exactly one common point P, find the polar coordinates of point P.

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