
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 in the Cartesian coordinate system xOy, the parametric equations of line l are $$\begin{cases} x= \frac {1}{2}t \\ y= \frac { \sqrt {3}}{2}t\end{cases}$$ (where t is the parameter), a polar coordinate system is established with the coordinate origin as the pole and the non-negative half of the x-axis as the polar axis. The polar equation of curve C is ρ<sup>2</sup>\-2ρcosθ-2=0, and the polar coordinates of point P are ($$ \frac {2 \sqrt {15}}{3}$$, $$ \frac {2π}{3}$$).

1. Find the polar equation of line l and the distance from point P to line l.
2. If line l intersects curve C at points M and N, find the area of △PMN.

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