
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, the parametric equation of line l is given by $$\begin{cases} x=1+t\cos\alpha \\ y=t\sin\alpha \end{cases}$$ (where t is a parameter, 0 < α < π). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of curve C is ρsin²θ = 4cosθ.

1. Find the Cartesian equation of l and C;
2. If l and C intersect at points A and B, and |AB| = 8, find α.

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