Find the general value of `theta` which satisfy both `sintheta=-1/2a n dtantheta=1//sqrt(3)` simultaneously. a) 11`pi`/6 b) 7`pi`/6 c) `pi`/6 d)11`pi`/6 , 7`pi`/6

Find the value of theta varepsilon(0,2 pi) for which sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is maximum:

The smallest value of theta satisfying the equation sqrt(3)(cot theta+tan theta)=4 is 2 pi/3 b.pi/3c. pi/6d. pi/12

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)

The most general value for which tan theta=-1cos theta=(1)/(sqrt(2)) is (n in Z)n pi+(7 pi)/(4) (b) n pi+(-1)^(n)(7 pi)/(4)2n pi+(7 pi)/(4) (d) none of these

If (1-tantheta)/(1+tantheta) = 1/sqrt3 , where theta in (0, pi/2) , then theta = (a) pi/6 (b) pi/4 (c) pi/12 (d) pi/3

The smallest positive angle which satisfies the equation 2sin^(2)theta+sqrt(3)cos theta+1=0 is (5 pi)/(6)b(2 pi)/(3)c*(pi)/(3)d*(pi)/(6)

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

If the unit vectors veca and vecb are inclined at an angle 2theta such that |veca-vecb|lt1 and 0lethetalepi then theta lies in the intervasl. (A) [0,pi/6] (B) (5pi/6,pi] (C) [pi/2,5pi/6] (D) [pi/6,pi/2]