
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 $f(x)= \dfrac{ \sqrt{3}}{2}\sin ωx-{\sin }^{2} \dfrac{ωx}{2} \dfrac{1}{2}(ω > 0)$, its smallest positive period is $π$.

(1) Find the value of $ω$ and the interval where the function $f(x)$ is monotonically increasing;

(2) When $x∈[0. \dfrac{π}{2}]$, find the range of the function $f(x)$.

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