
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 an angle $a$ and a point $P(-4,3)$ on its terminal side, find the value of $\dfrac{\cos \left( \dfrac{\pi}{2}+a\right)\sin \left(-\pi-a\right)}{\cos \left( \dfrac{11\pi}{2}-a\right)\sin \left( \dfrac{9\pi}{2}+a\right)}$.

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