
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 the function $$f(x)=\sin\left( \frac {\pi}{4}+x\right)\sin\left( \frac {\pi}{4}-x\right)$$.
(Ⅰ) Find the interval of monotonic decrease for $f(x)$;
(Ⅱ) Let $\alpha$ be an acute angle, and $$\sin\left(\alpha- \frac {\pi}{4}\right)= \frac {1}{2}$$, find the value of $f(\alpha)$.

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