
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]


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In triangle ABC, the sides opposite to angles A, B, and C are denoted as a, b, and c, respectively. Given that a = 8, b - c = 2, and cos A = -1/4.

1. Find the value of sin B.
2. Find the value of cos(2A + π/6).

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