
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
If \( f(x) = 2 \sin \omega x \) (where \( 0 < \omega < 1 \)) has a maximum value of \( \sqrt{2} \) on the interval \( \left[ 0, \frac{\pi}{3} \right] \), then \( \omega = \) ?

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