Find the value of `x` for which `cos e c^(-1)(cosx)` 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 values of x for which f(x) = sqrt(sin x - cos x) is defined.

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

Find the value of x for which following expressions are defined: (1)/(sqrt(x-|x|))( ii) (1)/(sqrt(x+|x|))

Find the values of x for which the follwing function is defined: f(x)=sqrt(1)/(|x-2|-(x-2))

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

Find the value of x for which the following expression are defined (i) sin^(-1) (3x -2) (ii) cos^(-1) (log_(e) x) (iii) sec^(-1) (x^(2) -2)

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

Find the value of cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

If cos^2x+cosx=a+2 , then find the value of a for which equation has solution.