
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 curve C is defined by the parametric equations 
$$
\begin{cases} 
x= \sqrt {6}\cos\alpha \\ 
y= \sqrt {2}\sin\alpha
\end{cases}
$$
where $\alpha$ is the parameter. Using the origin O as the pole and the positive x-axis as the polar axis, we establish a polar coordinate system. The polar equation of the line $l$ is $\rho(\cos\theta + \sqrt {3}\sin\theta) + 4 = 0$. Find the maximum distance from points on curve C to the line $l$.

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