Area of region [tex]|\cos x-\sin x| \leq y \leq \sin x[/tex] for [tex]x \in\left(0, \frac{\pi}{2}\right)[/tex] is:A. [tex](-1+2 \sqrt{2})[/tex] sq. units

B. [tex]\left(1-\frac{1}{\sqrt{2}}\right)[/tex] sq. units

C. [tex](\sqrt{5}+1-2 \sqrt{2})[/tex] sq. units

D. [tex](\sqrt{5}-\sqrt{2})[/tex] sq. units