
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 the parametric equations of curve C as $$\begin{cases} x=2\cos\theta \\ y=\sin\theta \end{cases}$$ (where $\theta$ is the parameter), and establishing a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar coordinates of points A and B are respectively A$(2,\pi)$ and $B\left(2, \frac {4\pi}{3}\right)$.  
(I) Find the equation of line AB in Cartesian coordinates;  
(II) Let M be a moving point on curve C, find the maximum distance from point M to line AB.

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