Range of the function `f(x)=sqrt(cos^(- 1)(sqrt(log_4x))-pi/2)+sin^(- 1)((1+x^2)/(4x))` is equal to (A) `(0,pi/2+sqrt(pi/2)]` (B) `[pi/2,pi/2+sqrt(pi/2)]` (C) `[pi/6,pi/4)` (D) `{pi/6}`

Range of the function f(x)=sqrt(cos^(-1)(sqrt(log_(4)x))-(pi)/(2))+sin^(-1)((1+x^(2))/(4x)) is equal to (A) (0,(pi)/(2)+sqrt((pi)/(2))] (B) [(pi)/(2),(pi)/(2)+sqrt((pi)/(2)])) (C) [(pi)/(6),(pi)/(4))( D ) {(pi)/(6)}

f(x)=sqrt(-x^(2)+4x-3)+sqrt(sin""pi/2(sin""pi/2(x-1)))

The value of cos^(-1)sqrt((2)/(3))-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A)(pi)/(3)(B)(pi)/(4)(C)(pi)/(2)(D)(pi)/(6)])

sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)(sqrt(2))= (a) 0 (b) pi/4 (c) pi/6 (d) pi/2

The domain of the function f given by f(x)=sqrt(log_(0.3)((e^(x)-1)/(e^(x)-tan x))) contains (A) (0,(pi)/(4)](B)[(pi)/(4),(pi)/(2))(C)[-(3 pi)/(4),-(pi)/(2)) (D) ((pi)/(2),(5 pi)/(4)]

Let 2y={(cot^(-1)(sqrt(3)cos x-sin x))/(cos x+sqrt(3)sin x))^(2) then (dy)/(dx) is equal to (A) x-(pi)/(6)(B)x+(pi)/(6)(C)2x-(pi)/(6)(D)2x-(pi)/(3)])

int_(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4)))) is equal to

The range of the function f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x)) is :

The range of the function f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x)) is :

int_((5)/(2))^(5)(sqrt((25-x^(2))^(3)))/(x^(4))dx is equal to (a) (pi)/(6)(b)(2 pi)/(3)(5 pi)/(6) (d) (pi)/(3)