
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 rectangular coordinate system $(xOy)$, the parametric equations of the curve $C\_1$ are given by $ \begin{cases} x=3+t\cos \frac {π}{4} \\ y=1-t\sin \frac {π}{4}\end{cases} (t\text{ is the parameter})$, and the polar coordinate system is established with $O$ as the pole and the positive half of $Ox$ as the polar axis. The polar equation of the curve $C\_2$ is $ρ=4\cos θ$.
(1) Find the rectangular coordinate equation of the curve $C\_1$;
(2) Suppose curves $C\_1$ and $C\_2$ intersect at points $A$ and $B$. Find the polar coordinates of points $A$ and $B$.

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