
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 that the function $f(x)=\sin ^{2}ωx+ \sqrt {3}\sin ωx\sin (ωx+ \frac {π}{2})(ω > 0)$ has a minimum positive period of $\frac {π}{2}$.
(1) Write out the monotonically increasing interval of the function $f(x)$;
(2) Find the range of the function $f(x)$ in the interval $[0, \frac {π}{3}]$.

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