The value of `theta in (0,2pi)` for which `2sin^2theta-5sintheta+2>0` is `(0,pi/6)uu((5pi)/6,2pi)` (b) `(pi/8,(pipi)/6)` `(0,pi/8)uu(pi/6pi/6)` (d) `((41pi)/(48),pi)`

Set of values of 'alpha' in [0,\ 2pi] for which m=(log)_(("x"+1/"x"))(2sinalpha-1)lt=0, is [pi/6,(5pi)/6] (b) (pi/6,(5pi)/6) (0,pi/6)uu((5pi)/6,\ pi) (d) ((5pi)/6,(7pi)/6)

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

The possible values of theta in (0, pi) such that sin (theta) + sin (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

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 roots of the equation 2x^(2)-4x+2sin theta-1=0 are of opposite sign,then theta belongs to ((pi)/(6),(5 pi)/(6))(b)(0,(pi)/(6))uu((5 pi)/(6),pi)((13 pi)/(6),(17 pi)/(6))(d)(0,pi)

The maximum value of sin(theta+(pi)/(6))+cos(theta+(pi)/(6)) is attained at theta in(0,(pi)/(2))

The maximum value of the function f(x)=sin(x+(pi)/(6))+cos(x+(pi)/(6)) in the interval (0,(pi)/(2)) occurs at (pi)/(12) (b) (pi)/(6)(c)(pi)/(4)(d)(pi)/(3)

2sin((pi)/8)sin((2pi)/8)sin((3pi)/8)sin((5pi)/8)sin((6pi)/8)sin((7pi)/8) = ?

The solution set of the equation 4s int h eta cos theta-2cos theta-2sqrt(3)s int_(h eta)+sqrt(3)=0 in the interval (0,2 pi) is {(3 pi)/(4),(7 pi)/(4)} (b) {(pi)/(3),(5 pi)/(3)}{(3 pi)/(4),pi,(pi)/(3)(5 pi)/(3)}(d){(pi)/(6),(5 pi)/(6),(11 pi)/(6)}