The range of `f(x)=sin^(-1)(sqrt(x^2+x+1))i s` `(0,pi/2)` (b) `(0,pi/3)` (c) `(pi/3,pi/2)` (d) `[pi/6,pi/3]`

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) sin(0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

Range of function f(x)=arccot(2x-x^(2)) is [(pi)/(4),(3 pi)/(3)](b)[0,(pi)/(4)][0,(pi)/(2)] (d) [(pi)/(4),pi]

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) (1) (1) (3 pi)/(4) pi) (0 (3 pi)/(4) 0 (0 pi)

Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is ( a )[0,9 pi](b)[0,3 pi](c)[pi,3 pi](d)[pi,9 pi]

The range of f(x)=sec^(-1)(log_(3)tan x+log_(tan x)3) is [(pi)/(3),(pi)/(2)]uu[(pi)/(2),(2 pi)/(3)][0,(pi)/(2)](c)((2 pi)/(3),pi)(d) none of these

If the angle between the vectors veca=hat i+(cos x)hat j+hat k and vec b=(sin^2 x-sin x)hat i-(cos x)hat j+(3-4sin x)hat k is obtuse and x in (0,pi/2) , then the exhtuse and austive set ofvalues of 'x' is equal to (A) x in (0,pi/6) (B) x in (pi/6,pi/2) (C) x in (pi/6,pi/3) (D) x in (pi/3,pi/2)

The range of the function f(x)=int_(-1)^(1)(sin xdt)/((1-2t cos x+t^(2))is) (a) [-(pi)/(2),(pi)/(2)]( b) [0,pi](c){0,pi}(d){-(pi)/(2),(pi)/(2)}