
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 $f(x)= \frac {1}{2}\sin x- \frac { \sqrt {3}}{2}\cos x$,
(1) Determine the range and the smallest positive period of the function;
(2) Determine the intervals where the function is monotonically increasing.

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