
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
Given the line with parametric equations $\begin{cases} x=t\cos θ, \\ y=t\sin θ \end{cases}$ where $t$ is a parameter and $0\leqslant θ < π$, and the circle with parametric equations $\begin{cases} x=4+2\cos α, \\ y=2\sin α \end{cases}$ where $α$ is a parameter, find the value of $θ$ when the line and the circle are tangent to each other.

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