
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
In △ABC, the sides opposite to angles A, B, C are a, b, c, respectively. Given that sinA sinB cosB + sin<sup>2</sup>B cosA = 2$$\sqrt {2}$$sinC cosB.
  1. Find the value of tanB.
  2. If b = 2 and the area of △ABC is $$\sqrt {2}$$, find the value of a + c.

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