
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<sub>1</sub>:
$$
\begin{cases}
x=5+5\cos t \\
y=4+5\sin t
\end{cases}
$$
where $t$ is the parameter. In a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar equation of curve C<sub>2</sub> is $\rho = 2\cos\theta$.

(I) Convert the parametric equations of C<sub>1</sub> into a polar equation.
(II) Find the polar coordinates of the intersection points of C<sub>1</sub> and C<sub>2</sub> (with $\rho \geq 0$, $0 \leq \theta < 2\pi$).

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