
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 rectangular coordinate system xOy, with the origin as the pole and the positive semi-axis of x as the polar axis, the polar coordinate equation of line l is $2ρ\sin(θ- \frac {π}{6})-3 \sqrt {3}=0$, and the parametric equation of curve C is $$\begin{cases} x=\cosα \\ y= \sqrt {3}\sinα\end{cases}$$ (where α is the parameter).
(1) Find the rectangular coordinate equations of line l and curve C.
(2) Let point P be a moving point on curve C. Find the maximum value of its distance d to line l.

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