
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
Determine the range of values for the angle of inclination of the line $x - y \sin \theta + 1 = 0$.

A) $\left[ \frac{\pi}{4}, \frac{3\pi}{4} \right]$
B) $\left[0, \frac{\pi}{4} \right] \cup \left[ \frac{3\pi}{4}, \pi \right]$
C) $\left[0, \frac{\pi}{4} \right]$
D) $\left[ \frac{\pi}{4}, \frac{\pi}{2} \right] \cup \left( \frac{\pi}{2}, \frac{3\pi}{4} \right]$

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