
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 that the ordinary equation of curve $C_1$ is $(x-4)^2+(y-5)^2=25$, and curve $C_2$ has a polar coordinate equation of $\rho =2\sin \theta$ with the positive semi-axis of $x$ as the polar axis and the origin as the pole.

(I) Convert the equation of $C_2$ into an ordinary equation;

(II) Find the polar coordinates ($\rho > 0,0\leqslant \theta < 2\pi$) of the intersection points of $C_1$ and $C_2$.

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