
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 parametric equation of curve $M$ is 
$$
\begin{cases} 
x= \frac {2 \sqrt {3}}{ \sqrt {3}-t} \\ 
y= \frac {2 \sqrt {3}t}{ \sqrt {3}-t}
\end{cases}
(t \text{ is the parameter, and } t > 0),
$$
with the origin as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established. It is known that the polar equation of curve $C$ is $\rho=4\cos \theta$.
1. Convert the parametric equation of curve $M$ into a standard equation, and convert the polar equation of curve $C$ into a Cartesian coordinate equation.
2. Find the polar coordinates of the intersection points of curve $M$ and curve $C$ $(\rho \geqslant 0,0 \leqslant \theta < 2\pi)$.

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