
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 equation of the parabola C is y²=4x.
(1) Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of x as the polar axis, and find the polar coordinate equation of C.
(2) The parameter equation of the line l is $$\begin{cases} \overset{x=2+tcos\alpha }{y=tsin\alpha }\end{cases}$$ (t is the parameter), l intersects C at points A and B, and $|AB|=4 \sqrt {6}$, find the slope angle of l.

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