
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 $f(x)=\cos x(\sin x-\cos x)$.
(I) Find the smallest positive period of the function $f(x)$;
(II) Find the maximum and minimum values of the function $f(x)$ when $x\in\left[-\frac{\pi}{4},\frac{\pi}{4}\right]$.

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