
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 two vectors $\overrightarrow{a} = (\lambda, \lambda - 2\cos\alpha)$ and $\overrightarrow{b} = (m, \frac{m}{2} + \sin\alpha)$, where $\lambda$, $m$, and $\alpha$ are real numbers. If $\overrightarrow{a} = 2\overrightarrow{b}$, find the range of values for $m$.

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