
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 $\alpha$ lies on the line $3x+4y=0$, find the value of the following expressions:

(I) $\frac{\cos \left( \frac{\pi }{2}+\alpha \right)\sin \left( -\pi -\alpha \right)}{\cos \left( \frac{5\pi }{2}-\alpha \right)\sin \left( \frac{9\pi }{2}+\alpha \right)}$;

(II) $\sin \alpha \cos \alpha +{{\cos }^{2}}\alpha +1$.

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