For `n in Z ,` the general solution of `(sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2i s(n in Z)` `theta=2npi+-pi/4+pi/(12)` `theta=npi+(-1)^npi/4+pi/(12)` `theta=2npi+-pi/4` `theta=npi+(-1)^npi/4-pi/(12)`

For n in Z, the general solution of (sqrt(3)-1)sin theta+(sqrt(3)+1)cos theta=2is(n in Z)theta=2n pi+-(pi)/(4)+(pi)/(12)theta=n pi+(-1)^(n)(pi)/(4)+(pi)/(12)theta=2n pi+-(pi)/(4)theta=n pi+(-1)^(n)(pi)/(4)-(pi)/(12)

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

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

General solution of tan theta+tan4 theta+tan7 theta=tan theta ,whern in Z is theta=(n pi)/(12), whern in Z theta=(n pi)/(9), whern in Ztheta=n pi+(pi)/(12), whern in Z noneofthese

Solution of the equation sin(sqrt(1+sin2 theta))=sin theta+cos theta is (n in Z)n pi-(pi)/(4)(b)n pi+(pi)/(12)(c)n pi+(pi)/(6)(d) none of these

The number of solution(s) of the equation cos2theta=(sqrt(2)+1)(costheta-1/(sqrt(2))) , in the interval (-pi/4,(3pi)/4), is 4 (b) 1 (c) 2 (d) 3

One of the general solutions of 4sin theta sin2 theta sin4 theta=sin3 theta is (3n+-1)(pi)/(12),AA n in Z(4n+-1)(pi)/(3),AA n in Z(3n+-1)(pi)/(12),AA n in Z(3n+-1)(pi)/(3),AA n in Z

One of the general solutions of sqrt(3)cos theta-3sin theta=4sin2 theta cos3 theta is m pi+(pi)/(18),m in Z(m pi)/(2)+(pi)/(6),AA m in Zm(pi)/(3)+(pi)/(18),m in Z none of these

If sqrt(3)cos theta+s int h eta=sqrt(2), then general value of theta is n pi+(-1)^(n)(pi)/(4),nZ b.(-1)^(n)(pi)/(4)-(pi)/(3),nZ c.n pi+-(pi)/(4)-(pi)/(3),nZ d.n pi+(-1)^(n)(pi)/(4)-(pi)/(3),nZ

The general solution ofthe trigonometrical equation sinx+cosx=1 for n=0, +- 1, +-1 is given by (a) x=2npi (b) x=2npi+pi/2 (c) x=npi+(-1)^npi/4-pi/4 (d) non of these