
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 coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of the curve $C$ is $p=2\cos θ$, $θ∈[0, \frac {π}{2}].$
(1) Find the equation of the curve $C$ in the rectangular coordinate system;
(2) Suppose point $D$ is on the curve $C$, and the tangent line of the curve $C$ at $D$ is perpendicular to the line $l$: $y= \sqrt {3}x+2$. Based on the equation of the curve $C$ you obtained in (1), find the coordinates of $D$ in the rectangular coordinate system.

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