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`

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 general solution of the equation 7cos^2theta+3sin^2theta=4 is theta=2npi+-pi/6,\ n Z b. theta=2npi+-(2pi)/3,\ n Z c. theta=2npi+-pi/3,\ n Z d. none of these

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 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

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

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 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 possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9