
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 equation of line l is $$\begin{cases} x=t\cos\alpha \\ y=1-t\sin\alpha \end{cases}$$ (t is the 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 (and both coordinate systems use the same unit of length). The polar equation of curve C is ρ = $$\frac {4\sin\theta}{\cos^{2}\theta}$$.
  1. Find the rectangular equation of curve C.
  2. If line l intersects curve C at points A and B, and the length of segment AB is greater than or equal to 16, find the range of values for angle α.

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