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

Which of the following sets can be the subset of the general solution of 1+c o s3x=2cos2x(n in Z)?

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

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

Which of the following set of values of x satisfies the equation 2^(2sin^2x-3sinx+1)+2^(2-2sin^2x+3sinx)=9? (a) x=npi+-pi/6,n in I (b) x=npi+-pi/3, n in I (c) x=npi,n in I (d) x=2npi+pi/2,n in I

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if (a) b-a=npi,n in I (b) b-a=(2n+1)pi,n in I (c) b-a=2npi,n in I (d) none of these

The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-2x=0 if (a) theta=npi,n in I Q (b) A=(2n+1)pi,n in I (c) theta=2npi,n in I (d) none of these

Let tanx-tan^2x >0 and |2sinx| (a) x > npi,n in Z (b) x > npi-pi/6,n in Z (c) x (d) x < npi+pi/6, n in Z

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

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

The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where {dot} denotes the fractional part, is (a) [0,pi] (b) (2n+1)pi/2, n in Z (c) (0,pi) (d) none of these