[tex]y=1-2sin^2xcos^2x+sin4x-1\\\Leftrightarrow y=-\frac{1}{2}.sin^22x+sin4x\\\Leftrightarrow \frac{-1}{2}.(\frac{1-cos4x}{2})+sin4x-y=0\\\Leftrightarrow \frac{1}{4}cos4x+sin4x-\frac{1}{4}-y=0\\DKDPTCN:\frac{1}{16}+1\geq (y+\frac{1}{4})^2\\\Leftrightarrow \frac{-\sqrt{17}-1}{4}\leq y\leq \frac{\sqrt{17}-1}{4}\\\Rightarrow min_y+max_y=\frac{-1}{2}\\\Rightarrow C[/tex]