
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 $α$ lies on the line $y=-2x (x < 0)$, find the value of $\frac{|\sin (π-α)|}{\cos (α- \frac{3π}{2})} - \frac{|\sin ( \frac{π}{2}+α)|}{\cos (π+α)}$.

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