
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
The minimum positive period of the function $g(x)=\tan \left( \frac {\pi}{3}x- \frac {\pi}{6}\right)$ is $M$, then the range of $f(x)=M\sin (2x- \frac {\pi}{6})$ in the interval $\left[0, \frac {\pi}{2}\right]$ is ______.

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