
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_{1}\\) as \\( \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 (\rho \geqslant 0, 0 \leqslant \theta < 2\pi)\\). Then, the polar coordinates of the intersection points of \\(C_{1}\\) and \\(C_{2}\\) are \_\_\_\_\_\_.

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