If `4cos theta-3sec theta=2tan theta` then `theta=` (A) "n pi+(-1)^(n)(pi)/(10),,,n in z],[" (B) "n pi+(-1)^(n)(pi)/(6),n in z],[" (c) "n pi-(-1)^(n)(3 pi)/(10),n in z],[" (D) "n pi,n in z]]

If cot theta-tan theta=sec theta, then theta is equal to 2n pi+(3 pi)/(2),nZ b.n pi+(-1)^(n)(pi)/(6),nZ c.n pi+(pi)/(2),nZ d.none of these

If |2 sin theta-cosec theta| ge 1 and theta ne (n pi)/2, n in Z , then

If 4cos x sin x*2sin x = 3sin x, then x = (i) n pi+(-1)^(n) (pi)/(10) (ii) n pi-(-1)^(n) ( pi)/(10) (iii) 2n pi+-(pi)/(10) (iv) n pi+(pi)/(10)

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

If (1)/(6)sin theta,cos theta and tan theta are in GP,then the general value of theta is (i) 2n pi+-(pi)/(3)( ii) 2n pi+-(pi)/(6) (iii) 2n pi+-(-1)^(n)(pi)/(3)( iv )n pi+-(pi)/(3)

If 4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)cos theta, then theta is 2n pi+-(pi)/(3),n in I(b)2n pi+-(pi)/(4),n in I2n pi+-(pi)/(6),n in I(d) none of these

If the vectors vec a and vec b are linearly idependent satisfying (sqrt(3)tan theta+1)vec a+(sqrt(3)sec theta-2)vec b=0 then the most general values of theta are a.n pi-(pi)/(6),n in Z b.2n pi+-(11 pi)/(6),n in Z c.n pi+-(pi)/(6),n in Z d.2n pi+(11 pi)/(6),n in Z

The general values of theta satisfying the equation 2sin^(2)theta-3sin theta-2=0 is (n in Z).n pi+(-1)^(n)(5)/(6)( b) n pi+(-1)^(n)(pi)/(2)n pi+(-1)^(n)(5 pi)/(6) (d) n pi+(-1)^(n)(7 pi)/(6)

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

If tan x=3cot x, then the general value of x is a.n pi+(pi)/(6),n in I b.n pi+(pi)/(3),n in I c.n pi+-(pi)/(6),n in I d.n pi+-(pi)/(3),n in I