
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, with the origin as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established, and the same unit of length is used in both coordinate systems. It is known that the polar equation of curve $C$ is $\rho=2\cos \theta$, and the parametric equation of line $l$ is 
$$
\begin{cases}
x=-1+t\cos \alpha \\
y=t\sin \alpha
\end{cases}
$$
($t$ is the parameter, $\alpha$ is the inclination angle of the line).
- (I) Write the general equation of line $l$ and the Cartesian coordinate equation of curve $C$;
- (II) If line $l$ has only one common point with curve $C$, find the value of angle $\alpha$.

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