
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 a line $l$ with the parametric equation $ \begin{cases} x= \frac {1}{2}+t\cos α \\ y=t\sin α\\ \end{cases} (t $ is a parameter, $0 < α < π$), and a curve $C$ with the polar coordinate equation $ρ= \frac {2\cos θ}{\sin ^{2}θ }$.
(1) Find the Cartesian equation of curve $C$.
(2) Suppose line $l$ intersects curve $C$ at points $A$ and $B$, and let $P( \frac {1}{2}, 0)$ be a fixed point. When $α= \frac {π}{3}$, find the value of $|PA|+|PB|$.

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