
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
Take the origin \\(O\\) of the Cartesian coordinate system as the pole, the positive half-axis of the \\(x\\)-axis as the polar axis, and both coordinate systems use equal units of length. The parametric equation of line \\(l\\) is given by \\( \\begin{cases} x=2+t\\cos \\alpha \\ y=1+t\\sin \\alpha \\end{cases}\\) (where \\(t\\) is the parameter, \\(0 < \alpha < \pi)\\), and the polar equation of curve \\(C\\) is \\(\rho\sin ^{2}\theta=4\cos \theta\\).
\\((\\)I\\()\\) Find the Cartesian equation of curve \\(C\\);
\\((\\)II\\()\\) Let the Cartesian coordinates of point \\(P\\) be \\(P(2,1)\\), line \\(l\\) intersects curve \\(C\\) at points \\(A\\) and \\(B\\), and \\(|PA|\cdot |PB|= \dfrac {28}{3}\\), find the value of \\(\tan \alpha\\).

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