
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 curve C has a polar coordinate equation ρ = 8$\sqrt {2}$sin(θ + $\frac {π}{4}$) with the origin O as the pole and the positive semi-axis of x as the polar axis.
(1) Convert the polar coordinate equation of curve C into a rectangular coordinate equation.
(2) A line l passes through point P(1, 0) with an inclination angle of 45° and intersects circle C at 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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