 Hello and welcome to the session I am Deepika here. Let's discuss the question which says choose the correct answer in the following. The area bounded by the y axis y is equal to cos and y is equal to sin x when 0 is less than equal to x less than equal to pi by 2 is a 2 into root 2 minus 1 v root 2 minus 1 c root 2 plus 1 and g root 2. So let's start the solution. Now we have given two curves y is equal to cos x. Let us give this as number 1 and y is equal to sin x. Let us give this as number 2 and y axis such that 0 is less than equal to x, x is less than equal to pi by 2. Now first of all we will find the point of intersection of 1 and 2. So from 1 and 2 we have x is equal to cos x and x is equal to 1 by dividing both sides by cos x. This implies x is equal to pi by 4. x is equal to pi by 4 lies in the closed interval 0 to pi by 2. So when x is equal to pi by 4, y is equal to sin x implies y is equal to sin pi by 4 which is equal to 1 over root 2. Hence the point of intersection pi by 4 1 over root 2 cos 0 is equal to 1 and cos pi by 2 is equal to 0 to 0 also equal to 0 pi by 2 is equal to 1. So 0 0 pi by 2 1 equation 2, this information we will draw a rough sketch to identify the region whose area we have to determine. So we have to find the area of this shaded region. So the area of the shaded region is equal to integral from 0 to pi by 4 while integral from 0 to pi by 4 while this is equal to integral from 0 to pi by 4 cos x vx integral from 0 to pi by 4 is equal to, integral of cos x is sin x and the limits are from 0 to pi by 4 minus integral of sin x is minus cos x and the limits are from 0 to pi by 4. And this is equal to sin pi by 4 minus sin 0 minus cos pi by 4 plus cos 0 this is equal to, now sin pi by 4 is 1 over root 2 minus sin 0 is 0 minus cos pi by 4 that is minus 1 over root 2 plus 1 and this is equal to 1 over root 2 plus 1 over root 2 minus 1 and this is equal to 2 over root 2 minus 1 and this is equal to root 2 minus 1. And this is our option B, hence the correct answer is B. So this completes the session, I hope you have enjoyed this session, bye and take care.