The set of all x in `((-pi)/2,pi/2)` satisfying `|4sinx-1| < sqrt(5)` is given by

Complete set of values of x satisfying the inequality x-3 lt sqrt(x^2+4x-5) is

The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(cosx)=4sqrt(2) is / are

Solve cos2x >|sinx|,x in (pi/2,pi)

Complete set of values of x satisfying inequality ||x-1|-5| lt 2x -5 is

The number of values of x in [0 , 4pi] satisfying abs(sqrt3 cos x - sin x) ge 2 , is

The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 is______

The set of values of x which satisfy the inequation (5x+8)/(4-x)lt2 , are-

The value of (dy)/(dx) at x=(pi)/(2) , where y is given by y=x^(sinx)+sqrt(x) is

If 0lt=xlt=2pia n d|cosx|lt=sinx , then (a) then set of all values of x is [pi/4,(3pi)/4] (b)the number of solutions that are integral nultiple of pi/4 is four (C)the number of the largest and the smallest solution is pi (D)the set of all values of x is x in [pi/4,pi/2]uu[pi/2,(3pi)/4]

Find the value of x in [-pi,pi] for which f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1)) is defined.