
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 $f(\alpha)= \frac{\sin(\pi - \alpha)\cos(-\alpha)\cos(-\alpha + \frac{3\pi}{2})}{\cos(\frac{\pi}{2} - \alpha)\sin(-\pi - \alpha)}$.
(1) Find the value of $f(-\frac{41\pi}{6})$;
(2) If $\alpha$ is an angle in the third quadrant and $\cos(\alpha - \frac{3\pi}{2}) = \frac{1}{3}$, find the value of $f(\alpha)$.

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