
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 $\tan \alpha=3$, find the value of the following expressions:
$$(1) \frac{\sqrt{3}\cos (-\pi-\alpha)-\sin (\pi+\alpha)}{\sqrt{3}\cos (\frac{\pi}{2}+\alpha)+\sin (\frac{3\pi}{2}-\alpha)}$$;
$$(2) 2\sin ^{2}\alpha-3\sin \alpha\cos \alpha-1$$.

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