
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
An angle is $30^\circ$, and its terminal side rotates three rounds counterclockwise to obtain an angle of \_\_\_\_\_\_ degrees. If $\sin\left(-\frac{\pi}{2}-\alpha\right)=-\frac{1}{3}$ and $\tan\alpha<0$, then the value of $\cos\left(\frac{3\pi}{2}+\alpha\right)$ is \_\_\_\_\_\_.

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