
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
Circles $O\_1$ and $O\_2$ have polar coordinate equations $ρ = \sin θ$ and $ρ = \cos θ$, respectively.
(1) Convert the polar coordinate equations of circles $O\_1$ and $O\_2$ into rectangular coordinate equations.
(2) Find the rectangular coordinate equation of the line passing through the two intersection points of circles $O\_1$ and $O\_2$.

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