
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 $(xOy)$, a coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The parametric equation of the curve $C_{1}$ is given by $\begin{cases} x=2+\cos \theta \ y=\sin \theta \end{cases} (\theta \text{ is the parameter})$.

1. Find the rectangular coordinate equation of the curve $C_{1}$;
2. The polar coordinate equation of the curve $C_{2}$ is given by $\theta= \frac {\pi}{6}(\rho \in R)$. Find the polar coordinates of the intersection point of $C_{1}$ and $C_{2}$.

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