
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 $\cos α=-\frac{\sqrt{5}}{5}$, and $α∈(π, \frac{3π}{2})$.
(1) Find the value of $\tan α$;
(2) Find the value of $\frac{3\sin (π+α)+\cos (3π-α)}{\sin (\frac{3π}{2}+α)+2\sin (α-2π)}$.

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