
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 $\sin\theta = \frac {1}{3}$, find the value of $\frac {\tan(2\pi-\theta)}{\cos\left( \frac {\pi}{2}-\theta\right)\cdot \sin\left( \frac {3\pi}{2}+\theta\right)}$.

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