
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
Let \(\theta\) and \(\phi\) be angles in radians. Define \(s = \sin(\theta + \phi)\) and \(c = \cos(\theta - \phi)\). Determine the range of values that \(s^2 - c^2\) can take.
A) Less than -1 or greater than +1, both excluded
B) Less than -1 or greater than +1, both included
C) Between -1 and +1, both excluded
D) Between -1 and +1, both included
E) -1 and +1 only

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