
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 angle $α$ is in the second quadrant, and a point $P$ on its terminal side has coordinates $(-\sqrt{2}, y)$, and $\sin α = \frac{\sqrt{2}}{4}y$.

1. Find the value of $\tan α$.
2. Find the value of $\frac{3\sin α \cdot \cos α}{4\sin^2α + 2\cos^2α}$.

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