
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 $f(x)=\cos{x}(\sin{x}+\cos{x})- \frac {1}{2}$,
(1) If $0<α< \frac {π}{2}$, and $\sin{α}= \frac { \sqrt {2}}{2}$, find the value of $f(α)$.
(2) Find the smallest positive period of the function $f(x)$ and the interval on which $f(x)$ is strictly decreasing in $[0, \frac {π}{2}]$.

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