MathematicsMedium94×since 2002Q2854The area of the region A={(x,y):∣cosx−sinx∣≤y≤sinx,0≤x≤π2}A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}} \right\}A={(x,y):∣cosx−sinx∣≤y≤sinx,0≤x≤2π} isA5+22−4.5\sqrt 5 + 2\sqrt 2 - 4.55+22−4.5B1−32+451 - {3 \over {\sqrt 2 }} + {4 \over {\sqrt 5 }}1−23+54C5−22+1\sqrt 5 - 2\sqrt 2 + 15−22+1D35−32+1{3 \over {\sqrt 5 }} - {3 \over {\sqrt 2 }} + 153−23+1Check answerSkip