
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 $f(x)=\sqrt{3}\cos^2\omega x+\sin \omega x\cos \omega x-\dfrac{\sqrt{3}}{2}$ with the smallest positive period of $\pi$.
- (Ⅰ) Find the interval where the function $f(x)$ is monotonically decreasing.
- (Ⅱ) If $f(x) > \dfrac{\sqrt{2}}{2}$, find the set of values for $x$.

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