
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 the function $y = \sin^2(x) - 3$, determine how $y$ changes if $x$ increases or decreases by $\pi$.
A) 0  
B) \(\pi^2 - 3\)  
C) \(-3\)  
D) $-\pi^2$  
E) $\sin^2(x)-3$

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