
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 circle $C$ are $$\begin{cases}x=2+2{\rm \cos }α, \\ y=2{\rm \sin }α\end{cases}$$ ($$α$$ is the parameter). Establish a polar coordinate system with $O$ as the pole and the non-negative semi-axis of the $x$-axis as the polar axis. The polar equation of the line is $$ρ({\rm \sin }θ+ \sqrt{3}{\rm \cos }θ)= \sqrt{3}$$.

1. Find the polar equation of circle $C$.
2. The ray $OM$: $θ=θ_{1}$ ($ \frac {π}{6}≤θ_{1}≤ \frac {π}{3}$) intersects circle $C$ at points $O$ and $P$, and intersects line $l$ at point $Q$. Find the range of $|OP|•|OQ|$.

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