A general solution of `tan^2theta+cos2theta=1` is `(n in Z)` `npi=pi/4` (b) `2npi+pi/4` `npi+pi/4` (d) `npi`

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2 is(n in Z) theta=2npi+-pi/4+pi/(12) theta=npi+(-1)^npi/4+pi/(12) theta=2npi+-pi/4 theta=npi+(-1)^npi/4-pi/(12)

If (cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0 holds true for all real x , then the most general values of theta can be given by n in Z) 2npi+(11pi)/6 (b) 2npi+(5pi)/6 2npi+-(7pi)/6 (d) npi+-(11pi)/6

The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is (n in Z) npi+pi/8 (b) (npi)/2+pi/8 (-1)^n(npi)/2+pi/8 (d) 2npi+cos^(-1)2/3

Which of the following is not the solution of the equation sin5x=16sin^5x(n in Z)? (a) npi (b) npi+pi/6 (c) npi-pi/6 (d) none of these

One of the general solutions of 4sinthetasin2thetasin4theta=sin3theta is (3n+-1)pi/(12),AAn in Z (4n+-1)pi/9,AAn in Z (3n+-1)pi/(12),AAn in Z (3n+-1)pi/3,AAn in Z

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^(-sin^2 x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (c) (n-1/2)pi,n in Z (d) none of these

One of the general solutions of sqrt(3) cos theta-3 sin theta=4 sin 2 theta cos 3 theta is mpi+pi/(18),m in Z (mpi)/2+pi/6,AAm in Z m pi/3+pi/(18),m in Z none of these

Consider the system linear equations in x ,y ,a n dz given by (sin3theta)x-y+z=0,(cos2theta)x+4y+3z=0,2x+7y+7z=0. the value of theta for which the system has a non-trivial solution : (A) theta = npi/2 (B) theta = (2n+1)pi/6 (C) theta = npi or npi + (-1)^n pi/6 (D) none of these

The value of theta lying between theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)