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

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

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

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 principal value of the following cos e c^(-1)(2) (ii) tan^(-1)(-sqrt(3)) cos^(-1)(1/(sqrt(2)))

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

Find the integral value of n for which lim_(x->0)(cos^2x-cosx-e^xcosx+e^x-(x^3)/2)/(x^n) is a finite nonzero number