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

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/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 1/6sintheta,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

sin^-1 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these

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)

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

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 tan theta=(1)/(2) andtan varphi =(1)/(3), then the value of theta+varphi is (pi)/(6) (b) pi(c)0(d)(pi)/(4)

(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 t a ntheta+s e ctheta=sqrt(3),\ 0