
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
(Selective 4-4: Coordinate System and Parametric Equations)  
It is known that the parametric equation of curve $C_1$ is $$\begin{cases} x=4+5\cos t \\ y=5+5\sin t\end{cases}$$ (t is the parameter). With the origin as the pole and the positive half-axis of the x-axis as the polar axis, the polar coordinate equation of curve $C_2$ is $\rho=2\sin\theta$.  
(I) Convert the parametric equation of $C_1$ into a polar coordinate equation;  
(II) Find the polar coordinates of the intersection points of $C_1$ and $C_2$ ($\rho\geq0$, $0\leq\theta<2\pi$)

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