
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
(Option 4-4: Coordinate System and Parametric Equations)  
Given that the parametric equation of curve $C_{1}$ is $\begin{cases} x=4+5\cos t \\ y=5+5\sin t\end{cases}$ (where $t$ is the parameter), and establishing a polar coordinate system with the origin as the pole and the positive half-axis of $x$ as the polar axis, the polar equation of curve $C_{2}$ is $\rho=2\sin \theta$.  
(I) Convert the parametric equation of $C_{1}$ into a polar equation;  
(II) Find the polar coordinates of the intersection points of $C_{1}$ and $C_{2}$ $(\rho \geqslant 0, 0 \leqslant \theta < 2\pi)$

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