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

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