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

(pi)/(4)+(2 pi)/(3)-(pi)/(6)

((pi)/(4))+((2 pi)/(3))-((pi)/(6))

If the equation x^(2)+4x sin theta+tan theta=0(0

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)

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

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

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)}

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)

sin((13pi)/3)sin((8pi)/3)+cos((2pi)/3)sin((5pi)/6)=1/2