
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 $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$ on a plane that satisfy $|\overrightarrow{\alpha}|\leqslant 1$ and $|\overrightarrow{\beta}|\leqslant 1$, and the area of the parallelogram with adjacent sides $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$ is $\frac{1}{2}$, find the range of the angle $\theta$ between $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$.

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