
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 line $l$ are given by $$\begin{cases} x=1+ \frac {3}{5}t \\ y=2+ \frac {4}{5}t\end{cases}$$ ($t$ is the parameter). In the polar coordinate system with $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the equation of curve $C$ is $\rho \sin^2 \theta = 8 \cos \theta$.
(I) Find the rectangular coordinate equation of curve $C$.
(II) Line $l$ intersects curve $C$ at two distinct points $M$ and $N$, and $P(1, 2)$. Find the value of $$\frac {1}{|PM|} + \frac {1}{|PN|}$$.

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