Question

The area bounded by $y=sinx,y=cosx$ between any two successive intersections is:

• A. $2$
• B. $\sqrt{2}$
• C. $2\sqrt{2}$
• D. 4

Answer 1

Answer: (C)

$2\sqrt{2}$

$\sqrt{2}\stackrel{5\pi /4}{\underset{\pi /4}{\int }}\sin (x-\pi /4)dx$
$=-\sqrt{2}\cos (x-\pi /4){|}_{\pi /4}^{5\pi /4}$
$=-\sqrt{2}[\cos \pi -\cos 0]$
$=2\sqrt{2}squnits.$