
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 $(xOy)$, a pole is established at the origin, and the positive semi-axis of the $x$-axis serves as the polar axis, forming a polar coordinate system. The polar coordinate equation of the semicircle $(C)$ is $ρ = 2\cos θ$, where $θ ∈ [0, \frac{π}{2}]$.
(I) Find the parametric equation of $(C)$;
(II) Suppose point $(D)$ lies on the semicircle $(C)$. The tangent line of $(C)$ at $(D)$ is perpendicular to line $(l): y = \sqrt{3}x + 2$. Using the parametric equation obtained in part (I), find the angle of inclination of line $(CD)$ and the coordinates of point $(D)$.

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