
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 that \(a, b\) are real numbers and \(a < b\), find the range of values for \(b - a\) such that the difference between the maximum and minimum values of the function \(y = \sin x\) on the closed interval \([a, b]\) is 1.

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