
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
Given the Cartesian coordinate system xOy, the parametric equations of line l are $$\begin{cases} x=-2+t\cos\alpha \\ y=1+t\sin\alpha \end{cases}$$ (t is the parameter, $$0≤α<\frac{π}{2}$$). Establish a polar coordinate system with the origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of the curve C is ρ$^2$-4ρcosθ-2ρsinθ-4=0.
(I) Find the Cartesian equation of line l and curve C.
(II) If line l intersects curve C at points A and B, and |AB|=2, find the value of α.

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