If `(cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0` holds true for all real `x ,` then the most general values of `theta` can be given by `n in Z)` `2npi+(11pi)/6` (b) `2npi+(5pi)/6` `2npi+-(7pi)/6` (d) `npi+-(11pi)/6`

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

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)

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)

Which of the following sets can be the subset of the general solution of 1+cas3x=2cos2x(n in Z)?(a)n pi+(pi)/(3) (b) n pi+(pi)/(6)(c)n pi-(pi)/(6)(d)2n pi

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

If 1/6sintheta,costheta\ "and" \ tantheta are in G.P. then the general solution for theta is (a) 2npi+-pi/3 (b) 2npi+-pi/6 npi+-pi/3 (d) none of these

The solution of 4sin^(2)x+tan^(2)x+csc^(2)x+cot^(2)x-6=0 is (n in Z)n pi+-(pi)/(4)(b)2n pi+-(pi)/(4)n pi+(pi)/(3)(d)n pi-(pi)/(6)