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.

Find the value of x for which f(x)=sqrt(sin x-cos x) is defined,x in[0,2 pi)

Find the value of x in the interval [-(pi)/(2),(3 pi)/(2)] for which sqrt(2)sin2x+1<=2sin x+sqrt(2)cos x

For x in(-pi,pi) find the value of x for which the given equation (sqrt(3)sin x+cos x)^(sqrt(sqrt(3)sin2x-cos2x+2))=4 is satisfied.

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

Find the range of following functions f(x)=log_(2)((sinx-cosx+3sqrt2)/(sqrt2))

f (x) = cos ((pi) / (sqrt (3)) sin x + sqrt ((2) / (3)) pi cos x)

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

The value of x in (0,(pi)/(2)) satisfying the equation,(sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is

If (5pi)/2

Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x in [(1)/(sqrt(3)), sqrt(3)] .