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)`

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)

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

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

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

The sum of all the solution in [0,4pi] of the equation tanx+cotx+1=cos(x+pi/4)i s (a) 3pi (b) pi/2 (c) (7pi)/2 (d) 4pi

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

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if theta in (0,pi/2) (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

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

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)