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 in [-pi,pi] for which f(x)=sqrt(log_(2)(4sin^(2)x-2sqrt(3)sin x-2sin x+sqrt(3)+1)) is defined.

Find the value of x in the interval [-pi/2,(3pi)/2\ ] for which sqrt(2)sin2x+1lt=2sinx+sqrt(2\ )cosx

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

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

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

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

Find the range of f(x)=(log)_2((sinx-cosx+3sqrt(2))/(sqrt(2)))

Find the range of f(x)=(log)_2((sinx-cosx+3sqrt(2))/(sqrt(2)))

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.

Find the range of f(x)=(log)_2(((sinx-cosx)+3sqrt(2))/(sqrt(2)))