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 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 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)))

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))

For x in (-pi, pi) find the value of x for which the given equation (sqrt 3 sin x + cos x)^(sqrt(sqrt3 sin 2 x-cos 2 x+2))=4 is satisfied.

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

Evaluate the value of ("lim")_(n vec pi/2 )tan^2xsqrt((2sin^2x+3sinx+4)-sqrt(sin^2x+6sinx+2))

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^2)