
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

...

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Given that f(α) = $$\frac {tan(π-α)\cdot cos(2π-α)\cdot sin( \frac {π}{2}+α)}{cos(-α-π)}$$.
(I) Simplify f(α);
(II) If f(α) = $$\frac {4}{5}$$, and α is an angle in the second quadrant, find the value of cos(2α + $$\frac {π}{3}$$).

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