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

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

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

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(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 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

If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b. npi+-pi/3,\ n in Z c. npi+-pi/6,\ n in Z d. 2npi+-pi/6,\ n in Z

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

If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1, then show theta in (2npi+pi/2,(2n+1)pi)uu(2npi+(3pi)/2,(2n+2)pi),n in Z

If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1, then show theta in (2npi+pi/2,(2n+1)pi)uu(2npi+(3pi)/2,(2n+2)pi),n in Z

If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1, then show theta in (2npi+pi/2,(2n+1)pi)uu(2npi+(3pi)/2,(2n+2)pi),n in Z