
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 that circle C has the parametric equations $$\begin{cases} x=1+2\cosθ \\ y=\sqrt{3}+2\sinθ \end{cases} (\text{where } θ \text{ is a parameter}),$$ if P is the intersection point of circle C and the positive half of the x-axis, and a polar coordinate system is established with the origin O as the pole and the positive half of the x-axis as the polar axis, let line l be the tangent to circle C at point P, find the polar equation of line l.

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