
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 the function $f(x) = \frac{\cos(x - \frac{\pi}{2})}{\sin(\frac{7\pi}{2} + x)} \cdot \cos(\pi - x)$:
(1) Simplify the expression of $f(x)$;
(2) If $f(\alpha) = -\frac{5}{13}$, find the values of $\cos\alpha$ and $\tan\alpha$.

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