
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 $$\begin{cases} x=t\cos\alpha \\ y=2+t\sin\alpha \end{cases}$$ (t is the parameter). 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 ρ<sup>2</sup> = $$\frac {24}{7-\cos2\theta }$$ .
(1) Find the ordinary equation of curve C;
(2) If line l intersects curve C at two distinct points A and B, find the range of values for tanα.

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