
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
(1) Simplify $\frac{\cos(180^\circ + \alpha) \cdot \sin(\alpha + 360^\circ)}{\sin(-\alpha - 180^\circ) \cdot \cos(-180^\circ - \alpha)}$.  
(2) Given that $\tan \alpha = -\frac{3}{4}$, find the value of $\frac{\cos(\frac{\pi}{2} + \alpha) \cdot \sin(-\pi - \alpha)}{\cos(\frac{11\pi}{2} - \alpha) \cdot \sin(\frac{11\pi}{2} + \alpha)}$.

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