
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 $\cos\alpha=-\frac{3}{5}$, and $\alpha$ is an angle in the _____ quadrant. Choose one appropriate option from ① first, ② second, ③ third, ④ fourth, to fill in the blank above, and based on your choice, answer the following questions:
- $(1)$ Find the values of $\sin \alpha$ and $\tan \alpha$.
- $(2)$ Simplify and find the value of $\frac{{\sin(\pi+\alpha)\cos(-\alpha)\sin(\frac{\pi}{2}+\alpha)}}{{\cos(2023\pi-\alpha)\tan(2024\pi-\alpha)}}$.

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