Solution of the equation `sin(sqrt(1+sin2theta))=sintheta+costhetai s(n in Z)` (a)`npi-pi/4` (b) `npi+pi/(12)` (c) `npi+pi/6` (d) none of these

Solution of the equation sin (sqrt(1+sin 2 theta))= sin theta + cos theta is (n in Z)

Show that int_0^(pi/2)sqrt((sin2theta))sinthetadtheta=pi/4

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z) (a) 2npi (b) 2npi+pi/2 (c) 2npi-pi/2 (d) npi

If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) n pi+pi/4 (b) npi+pi/8 npi+pi/3 (d) none of these

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 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

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

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

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

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2i s(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)