
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 elective course 4-4 on Coordinate System and Parametric Equations: Given the circle $C: \rho=2\cos\theta$ and the line $l: \rho\cos\theta - \rho\sin\theta = 4$, find the equation in polar coordinates of the line that passes through point $C$ and is perpendicular to line $l$.

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