Which of the folllowing functions are defined for all x (A) `sin[x]+ cos[x}([x]}`denotes the greatest integers le x) B) sec^(-1) (1 + sin^2 x) (C) tan(logx) (D) `sqrt(9/8+cos x+cos 2x)`

Which of the folllowing functions are defined for all x (A) sin[x]+ cos[x]([x] denotes the greatest integers less than x) B) sec^(-1) (1 + sin²x) (C) tan(logx) (D) sqrt(9/8+cos x+cos 2x)

Which of the folllowing functions are defined for all x (A) sin[x]+ cos[x]([x] denotes the greatest integers less than x) B) sec^(-1) (1 + sin²x) (C) tan(logx) (D) sqrt(9/8+cos x+cos 2x)

Range of f(x)=sin^(-1)[x-1]+2cos^(-1)[x-2] ([.] denotes greatest integer function)

Range of f(x)=sin^(-1)[x-1]+2cos^(-1)[x-2] ([.] denotes greatest integer function)

Evaluate: (lim)_(x rarr0)(sin[cos x])/(1+[cos x])([.] denotes the greatest integer function).

Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([.) denotes the greatest integer function) is

Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([.) denotes the greatest integer function) is

Period of f(x)=sin3x cos[3x]-cos3x sin[3x] (wherell denotes the greatest integer function),is

Period of f(x) = sin 3x cos[3x]-cos 3x sin [3x] (where[] denotes the greatest integer function), is