
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 $_\\(xOy\\)_$, 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 $_\\(ρ\\)_$\\(=2\\cos \\)_$\\(θ\\)_$, $\\(θ\\)$\\(∈\\left\[0, \\dfrac{π}{2}\\right\] .\\) Find the ordinary equation of $_\\(C\\)_$.

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