If `tan A=1,tan B=2, tan C=3`,then `A+B+C=` (i)`(npi)/2;n in ZZ` (ii)`(npi);n in ZZ` (iii)`(npi)/4;n in ZZ` (iv)`(2npi)/3;n in ZZ`

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

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

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

Let tanx-tan^2x >0 and |2s inx| npi,n in Z (b) x > npi-pi/6,n in Z x

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

The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=3sin^2 3theta is/are (a) (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

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

The roots of the equation, cotx- cos x=1- cotx*cos x are : (i)npi+pi/4 (ii)2npi+pi/4 (iii)npi+pi/4 or 2npi+-pi (iv) (4n+1)pi/4 or(2n+1)pi; n in I

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