
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
In the polar coordinate system, let the intersection points of curve $C_1: \rho=2\sin\theta$ and $C_2: \rho=2\cos\theta$ be $A$ and $B$, respectively. Then, the equation of the perpendicular bisector of line segment $AB$ in polar coordinates is.

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