
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 $f(x)=-\sin ^{2}x+m\sin x+2$, when $x\in\left[ \frac {\pi}{6}, \frac {2\pi}{3}\right]$ the function has a maximum value of $\frac {3}{2}$. Find the value of $m$ at this time.

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