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

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) sin(0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

The smallest positive x satisfying the equation log_(cos x)sin x+log_(sin x)cos x=2 is (pi)/(2)(b)(pi)/(3)(c)(pi)/(4)(d)(pi)/(6)

The number of roots of the equation cot x=(pi)/(2)+x in [-pi,(3 pi)/(2)] is

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

The number of roots of the equation x^(3)+x^(2)+2x+sin x=0 in (-2 pi,2 pi)

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

Find the number of solution of the equation x^(3)+2x+cosx+tanx=0 in (-(pi)/(2),(pi)/(2))

f(x)=(s i x)/(sqrt(1+tan^2x))+(cos x)/(sqrt(1+cot^2x)) is constant in which of following interval a. \ (0,\ pi/2) b. (pi/2,\ pi) c. (pi,\ ((3pi)/2) d. ((3pi)/2,2pi)