One of the root equation `cosx-x+1/2=0` lies in the interval `(0,pi/2)` (b) `(-pi/(2,0))` (c) `(pi/2,pi)` (d) `(pi,(3pi)/2)`

One root of the equation cos x-x+(1)/(2)=0 lies in the interval (A)[0,(pi)/(2)](B)[-(pi)/(2),0] (C) [(pi)/(2),0] (D) none

A solution of the equation cos^(2)theta+s int h eta+1=0 lies in the interval (-pi/4,pi/4) b.(pi/4,3 pi/4)c(3 pi/4,5 pi/4)d*(5 pi/4,7 pi/4)

The smallest positive root of the equation tan x-x=0 lies in (0,(pi)/(2)) (b) ((pi)/(2),pi)(pi,(3 pi)/(2)) (d) ((3 pi)/(2),2 pi)

The solution o the equation cos^(2)theta+s int h eta+1=0 lies in the interval (-pi/4,pi/4) b.(pi/4,3 pi/4)c(3 pi/4,5 pi/4)d.(5 pi/4,7 pi/4)

If |veca+vecb|lt|vecavecb| then the angle between veca and vecb lies in the interval (A) (-pi/2, pi/2) (B) (0,pi0) (C) (pi/2,(3pi)/2) (D) (0,2pi)

f(x) = cos x is strictly increasing in the interval : (a) ((pi)/(2),pi) (b) (pi,(3 pi)/(2)) (c) (0,(pi)/(2))

The equation (cos p-1)x^(2)+(cos p)x+sin p=0 in the variable x has real roots.The p can take any value in the interval (a) ( 0,2 pi)( b) (-pi,0) (c) (-(pi)/(2),(pi)/(2))( d )(0,pi)

The number of roots of the equation x+2tan x=(pi)/(2) in the interval [0,2 pi] is