
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 terminal side of angle $\alpha$ is in the second quadrant, and the x-coordinate of the point where it intersects the unit circle is $-\frac{1}{3}$, determine the value of $\sin \beta$ when the terminal side of angle $\alpha$ is rotated counterclockwise around the origin by $180^{\circ}$.

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