
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 $f(x)=\sin (ωx- \frac {π}{6})-2\cos ^{2} \frac {ωx}{2}+1(ω > 0)$, the distance between the two adjacent intersection points of the line $y= \sqrt {3}$ and the graph of the function $f(x)$ is $π$.
(1) Find the value of $ω$;
(2) In acute triangle $△ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively. If the point $(\frac {B}{2},0)$ is a symmetry center of the graph of the function $y=f(x)$, find the range of $\sin A+\sin C$.

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