
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 given by $$\begin{cases} x= \sqrt {3}+rcosφ \\ y=1+rsinφ\end{cases}$$ (r > 0, φ is the parameter). 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. The polar equation of the line l is ρcos(θ + $\frac {π}{6}$) + 1 = 0. If the line l is tangent to the curve C:

1. Find the polar equation of the curve C.
2. Choose any two points M and N on the curve C such that they form a triangle MON with the origin O and satisfy ∠MON = $\frac {π}{6}$. Find the maximum area of the triangle △MON.

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