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 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

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

The expression cos3theta+sin3theta+(2sin2theta-3)(sintheta-costheta) is positive for all theta in (a) (2npi-(3pi)/4,2npi+pi/4),n in Z (b) (2npi-pi/4,2npi+pi/6),n in Z (c) (2npi-pi/3,2npi+pi/3),n in Z (d) (2npi-pi/4,2npi+(3pi)/4),n in Z

If sintheta=1/2a n dcostheta=-(sqrt(3))/2, then the general value of theta is (n in Z)dot (a) 2npi+(5pi)/6 (b) 2npi+pi/6 2npi+(7pi)/6 (d) 2npi+pi/4

If |2 sin theta-cosec theta| ge 1 and theta ne (n pi)/2, n in Z , then

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 general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6

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

Which of the following sets can be the subset of the general solution of 1+c a s3x=2cos2x(n in Z)? (a) npi+pi/3 (b) npi+pi/6 (c) npi-pi/6 (d) 2npi

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2