
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]


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In the rectangular coordinate system $xOy$, the equation of line $l$ is $y= \sqrt {3}x$, the parametric equation of circle $C_{1}$ is $$\begin{cases} x=cos\phi \\ y=1+sin\phi \end{cases}$$ (where $\phi$ is the parameter). Establish a polar coordinate system with $O$ as the pole and the non-negative semi-axis of $x$ as the polar axis. The polar equation of circle $C_{2}$ is $\rho=4cos\theta$.

1. Find the polar equation of $C_{1}$;
2. Let $M$ and $N$ be the intersection points of $l$ and $C_{1}$, $C_{2}$ respectively, excluding the origin. Calculate the area of $\triangle C_{2}MN$.

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