
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 $f(x) = \cos \omega x$ where $\omega > 0$, points $A$ and $B$ are respectively the first highest and lowest points on the right side of the $y$-axis of the graph of $f(x)$, and $O$ is the origin. If triangle $OAB$ is an acute triangle, determine the range of values for $\omega$.

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