
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 Cartesian coordinate system $(xOy)$, the parametric equations of line $l$ are given by $\begin{cases} x = 2 + \frac{1}{2}t \\ y = \frac{\sqrt{3}}{2}t \end{cases}$ ($t$ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is given by $ρ = 4 \cos θ$.
1. Convert the parametric equations of line $l$ to polar coordinates and convert the polar equation of curve $C$ to a standard equation.
2. Find the polar coordinates $(ρ ≥ 0, 0 ≤ θ < 2π)$ of the intersection points of line $l$ and curve $C$.

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