
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 that the polar coordinates of point $P$ are $(1, \frac{\pi}{3})$, determine the polar coordinate equation of the line that passes through point $P$ and is perpendicular to the polar axis.

A) $\rho = 1$
B) $\rho = \cos \theta$
C) $\rho = -\frac{1}{\cos \theta}$
D) $\rho = \frac{1}{2\cos \theta}$

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