The solution(s) of `4cos^2xsinx-2sin^2x=3sinx` is/are `npi; n in I` (b) `npi+9(-1)^npi/(10); n in I` `npi+(-1)^n(-(3pi)/(10)); n in I` none of these

The general solution of the following equation : 2(sinx-cos2x)-sin2x)\ (1+2sinx)+2cosx=0 is/are x=2npi\ ;\ n in I (b) npi+(-1)^n(-pi/2);\ n in I x=npi+(-1)^npi/6;\ n in I x=npi+(-1)^npi/4;\ n in I

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2n+1)pi/2,\ n in I (c) x=npi+-\ pi/6,\ n in I (d) none of these

The solution(s) of the equation sin7x+cos2x=-2 is/are (a) x=(2kpi)/7+(3pi)/(14),\ k in I (b) x=npi+pi/4\ k in I x=2npi+pi/2,\ k in I (d) none of these

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 solutions of the equation 1+(sinx-cosx)sinpi/4=2cos^2(5x)/2 is/are x=(npi)/3+pi/8, n in Z x=(npi)/2+(5pi)/(16), n in Z x=(npi)/3+pi/4, n in Z x=(npi)/2+(7pi)/8, 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

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^(-sin^2 x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (c) (n-1/2)pi,n in Z (d) none of these