
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 polar coordinate system, the pole is O, and the polar coordinates of point A are $(2, \frac{\pi}{6})$. An isosceles right triangle OAB is formed with OA as the hypotenuse (where O, A, B are distributed in a counterclockwise direction)  
(1) Find the polar coordinates of point B;  
(2) Find the polar equation of the circumscribed circle of the triangle.

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