
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 in triangle ABC, the lengths of the sides opposite to angles A, B, and C are a, b, and c respectively, and b=3, c=1, A=2B.

(I) Find the value of a.
(II) Find the value of $cos(2A+ \frac {π}{6})$.

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