
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 equation of curve $C_1$ as 
$$ \begin{cases}
x = 4 + 5\cos t \\
y = 5 + 5\sin t
\end{cases} \quad (t \text{ is the parameter}) $$
and setting up a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the polar equation of curve $C_2$ is $\rho = 2\sin \theta$.

(1) Convert the parametric equation of $C_1$ into its polar equation.

(2) Find the coordinates of the intersection points of $C_1$ and $C_2$.

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