
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
Calculate the simplified form of the expression 
$$ g(x) = \sqrt{4\sin^4{x} + \cos^2{x}} - \sqrt{4\cos^4{x} + \sin^2{x}}. $$
A) $0$  
B) $1$  
C) $\sin^2 x - \cos^2 x$  
D) $\sqrt{2}$

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