
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 Cartesian coordinate system xOy, the parametric equations of line l are given by: $$\begin{cases}x=1+t\cos α \\ y=2+t\sin α\end{cases}$$ (t is a parameter, 0≤a<π). Establish a polar coordinate system with O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of curve C is ρ=6sinθ.

1. Find the Cartesian equation of curve C.
2. If point P(1, 2), and curve C intersects with line l at points A and B, find the minimum value of |PA| + |PB|.

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