
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
Stretch the x-coordinate of each point on the circle $x^2+y^2=1$ by $\sqrt{3}$ times and the y-coordinate by 2 times to obtain curve C.
1. Find the parametric equation of curve C.
2. Establish a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis. Given that point P has polar coordinates $(2, \frac{2\pi}{3})$, and point P is symmetric to point Q about the line $\theta= \frac{5\pi}{6}$. Suppose the line PQ intersects curve C at points A and B. Find the polar equation of the perpendicular bisector of segment AB.

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