
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 $\theta$ passes through point $P(3,-4)$.
(1) Find the values of $\sin \theta$, $\cos \theta$, and $\tan \theta$;
(2) Find the value of $\frac{\cos (3\pi-\theta)+\cos(\frac{3\pi}{2}+\theta)}{\sin(\frac{\pi}{2}-\theta)+\tan(\pi+\theta)}$.

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