
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 $\tan\alpha$ is a real root of the equation $2x^2 - x - 1 = 0$ and $\alpha$ is an angle in the third quadrant:
1. Find the value of $\frac{2\sin\alpha - \cos\alpha}{\sin\alpha + \cos\alpha}$;
2. Find the value of $3\sin^2\alpha - \sin\alpha\cos\alpha + 2\cos^2\alpha$.

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