
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 vectors $$\overrightarrow {a}$$\=(2sin（x- $$\frac {π}{4}$$）, $$\sqrt {3}$$sinx) and $$\overrightarrow {b}$$\=(sin（x+ $$\frac {π}{4}$$）, 2cosx), and the function f(x) = $$\overrightarrow {a}$$ • $$\overrightarrow {b}$$,

1. Find the interval where the function f(x) is monotonically decreasing.
2. If f($$\frac {α}{2}$$) = $$\frac {2}{5}$$, find the value of sin(2α + $$\frac {π}{6}$$).

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