
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 point $(\cos \theta, \sin \theta)$, the distance from this point to the line $x \sin \theta + y \cos \theta - 1 = 0$ is $\frac{1}{2}$ $(0 \leqslant \theta \leqslant \frac{\pi}{2})$. Find the value of $\theta$

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