` -pi/2 < x < pi/2 => -pi/4 < -x/2 < pi/4 => 0< pi/4 - x/2 < pi/2 `

The value of int_0^pi1/(5+3cosx)dx is pi//2 b. pi//4 c. 0 d. pi//8

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

The value of int_0^pi1/(5+3cosx)dx is a. pi//2 b. pi//4 c. 0 d. pi//8

The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing function in (1) (pi/4,pi/2) (2) (-pi/2,pi/4) (3) (0,pi/2) (4) (-pi/2,pi/2)

The value of int_0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(sin x))dx is pi//2 b. pi//4 c. 0 d. none of these

The value of int_0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(s in x))dx is pi//2 b. pi//4 c. 0 d. none of these

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9