
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
The real number \(\theta\) is an angle measure in degrees that satisfies \(0^{\circ} < \theta < 360^{\circ}\) and
\[ 
2022^{2 \sin^{2} \theta - 3 \sin \theta + 1} = 1 
\]
The sum of the possible values of \(\theta\) is \(k^{\circ}\). What is the value of \(k\)?

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