
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 $\tan α$ and $\frac{1}{\tan α}$ are the two real roots of the equation $x^{2}-kx+k^{2}-3=0$ concerning $x$, and $3π < α < \frac{7}{2}π$, find the value of $\cos (3π+α)-\sin (π+α)$.

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