
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 Cartesian coordinate system $xOy$, let curve $C_{1}$: $\sqrt{3}x+y-4=0$, and curve $C_{2}$: $\begin{cases} x=\cos \theta \\ y=1+\sin \theta \end{cases}$ (with $\theta$ as the parameter). Establish a polar coordinate system with the origin $O$ as the pole and the positive $x$-axis as the polar axis.  
(Ⅰ) Find the polar equations of curves $C_{1}$ and $C_{2}$.  
(Ⅱ) Curve $C_{3}$: $\begin{cases} x=t\cos \alpha \\ y=t\sin \alpha \end{cases}$ (with $t$ as the parameter, $t > 0$, $0 < \alpha < \frac{\pi}{2}$) intersects $C_{1}$ and $C_{2}$ at points $A$ and $B$ respectively. What value of $\alpha$ maximizes the value of $\frac{|OB|}{|OA|}$?

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