If `sintheta=1/2a n dcostheta=-(sqrt(3))/2,` then the general value of `theta` is `(n in Z)dot` (a) `2npi+(5pi)/6` (b) `2npi+pi/6` `2npi+(7pi)/6` (d) `2npi+pi/4`

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

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 pi

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

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 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

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

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

Given both theta and phi are acute angles and sin theta=(1)/(2),cos varphi=(1)/(3), then the value of theta+varphi belongs to (a)((pi)/(3),(pi)/(2)]( b) ((pi)/(2),(2 pi)/(3)] (c) ((2 pi)/(3),(5 pi)/(6)] (d) ((5 pi)/(6),pi]

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