
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
If \( P(x, y) \) is a point on the unit circle, where \( x \) and \( y \) are related to angle \( \theta \) such that \( x = \cos(\theta) \) and \( y = \sin(\theta) \), find the range of values for \( (\sin(\theta))^2 - (\cos(\theta))^2 \).
A) Less than -1 or greater than +1
B) [0, 2]
C) [-1, 1]
D) {-1, 0, 1}

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