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

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

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