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`

The sum of all the solution of the equation costhetacos(pi/3+theta)cos(pi/3-theta)=1/4theta in [0,6pi] (A) 15pi (B) 30pi (C) (100pi)/3 (D) none of these

If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1 in [0,pi] is k pi then k is equal to

int_0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

The values of x_1 between 0 and 2pi , satisfying the equation cos3x+cos2x=sin(3x)/2+sinx/2 are pi/7 (b) (5pi)/7 (c) (9pi)/7 (d) (13pi)/7

The sum of all the solutions of cottheta=sin2theta(theta!=npi, n in t ege r) , 0lt=thetalt=pi, is (3pi)/2 (b) pi (c) 3 pi/4 (d) 2pi

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

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

The number of solutions of equation cos2x-3cos x+1=(1)/((cot2x-cotx).sin(x-pi)) in [0,4pi] is

The sum of roots of the equation cos^(-1)(cosx)=[x],[dot] denotes the greatest integer function, is (a) 2pi+3 (b) pi+3 (c) pi-3 (d) 2 pi-3

The number of solutions of the equation cos^(2)((pi)/(3)cos x - (8pi)/(3))=1 in the interval [0,10pi] is