
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 $xoy$, setting the origin O as the pole and the positive half-axis of the x-axis as the polar axis, establish a polar coordinate system,  
(Ⅰ) The polar equation of curve $C_1$ is given as $\rho = 6\cos\theta$. Convert the polar equation of curve $C_1$ into its Cartesian coordinate equation.  
(Ⅱ) In the Cartesian coordinate system $xoy$, the parametric equation of the curve $C_2$ is given as 
$$
\begin{cases} 
x = a\cos\phi \\
y = b\sin\phi 
\end{cases}
$$
where $a > b > 0$ and $\phi$ is the parameter. It is known that point M(1, $\sqrt{3}/2$) is on curve $C_2$ and corresponds to the parameter $\phi = \pi/3$. Find the Cartesian coordinate equation of curve $C_2$.

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