
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
The line $\begin{cases}x=t\cos \alpha \\ y=t\sin \alpha\end{cases}$ (where $t$ is a parameter) is tangent to the circle $\begin{cases}x=4+2\cos \varphi \\ y=2\sin \varphi\end{cases}$ (where $\varphi$ is a parameter). Find the angle of inclination $\alpha$ ($\alpha > \frac{\pi}{2}$) of this line.

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