
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
Point A moves uniformly in a counterclockwise direction on a circle centered at the origin. It is known that point A starts from the positive half of the x-axis and turns through an angle of $\theta$ (where $0 < \theta < \pi$) in one minute. It reaches the third quadrant in 2 minutes and returns to its original position in 14 minutes. Find the value of $\theta$.

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