The value(s) of `theta` , which satisfy `3-2\ costheta-4sintheta-cos2theta+sin2theta=0` is/are `theta=2npi; n in I` (b) `2npi+pi/2; n in I` `2npi-pi/2; n in I` (d) `npi: n in I`

The value(s) of theta, which satisfy the equation : 2cos^3 3thetatheta+4=3sin^2 3theta is/are (2npi)/3+(2pi)/9,\ n in I (b) (2npi)/3-(2pi)/9,\ n in I\ (2npi)/5+(2pi)/5,\ n in I\ (d) (2npi)/5-(2pi)/5,\ n in I

If x=2costheta-cos2theta,y=2sintheta-sin2theta,"find "dy/dx" at "theta=pi/2 .

Find the general value of theta which satisfies the equation (cos theta+i sin theta)(cos2 theta+i sin2 theta)......(cos n theta+i sin n theta)=1

If sin^(3)theta+sin theta cos^(2)theta=1, then theta is equal to (n in Z)( a) 2n pi(b)2n pi+(pi)/(2)(c)2n pi-(pi)/(2) (d) n pi

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

If 4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)cos theta, then theta is 2n pi+-(pi)/(3),n in I(b)2n pi+-(pi)/(4),n in I2n pi+-(pi)/(6),n in I(d) none of these

The value of (2(sin2theta+2cos^2theta-1))/(costheta-sintheta-cos3theta+sin3theta) is adot costheta b. sectheta c. cosectheta d. sintheta

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

The expression cos3 theta+sin3 theta+(2sin2 theta-3)(sin theta-cos theta) is positive for all theta in (2n pi-(3 pi)/(4),2n pi+(pi)/(4)),n in Z(2n pi-(pi)/(4),2n pi+(pi)/(6)),n in Z(2n pi-(pi)/(3),2n pi+(3 pi)/(3)),n in Z(2n pi-(pi)/(4),2n pi+(3 pi)/(4)),n in Z

The value of (sintheta+i cos theta)^n is (A) sin n theta+i cos ntheta (B) cos ntheta-i sin n theta (C) cos ((npi)/2- ntheta)+is sin ((npi)/2- ntheta) (D) none of these