
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
A curve C is established in the 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 curve C is given by $$ρ^{2}= \frac {12}{4-cos^{2}\theta }$$

1. Find the rectangular coordinate equation of the curve C.
2. Suppose a line l passes through the point P(1, 0) with a slope angle of 45° and intersects the curve C at two points A and B. Find the value of $$\frac {1}{|PA|}+ \frac {1}{|PB|}$$.

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