
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 point A($-2$, m) lies on the terminal side of angle α, and $\sin{\alpha} = -\frac{\sqrt{5}}{5}$.

(1) Find the values of m and $\cos{\alpha}$.
(2) Find the value of $\frac{\cos{(\frac{\pi}{2} + \alpha)}\sin{(- \pi - \alpha)}}{\cos{(\frac{11\pi}{2} - \alpha)}\sin{(\frac{9\pi}{2} + \alpha)}}$.

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