
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 $$f(x)=\cos\left( \frac {\pi}{2}-x\right)\cos x+ \sqrt {3}\sin^{2}x$$  
(Ⅰ) Find the smallest positive period of $f(x)$ and the interval where it is monotonically decreasing;  
(Ⅱ) Find the maximum and minimum values of the function $f(x)$ when $$x\in\left[ \frac {\pi}{6}, \frac {\pi}{2}\right]$$.

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