
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 the terminal side of angle $\alpha$ passes through point $P(-4,3)$,

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

(2) Find the value of $2+\sin \alpha \cos \alpha -{{\cos }^{2}}\alpha$.

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