If `f(x)=sin^(-1)(sin x),g(x)=cos^(-1)(cos x)` and `h(x)=cot^(-1)(cot x)`, then which of the following is/are correct ?

Let f(x)=sin^(-1)x and g(x)=cos^(-1)x , then which of the following statements are correct?

Let f(x)=sin^(-1)x and g(x)=cos^(-1)x , then which of the following statements are correct?

Let f(x)=sin^(-1)(tan x)+cos^(-1)(cot x) then

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?

If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x. cosec^(-1) x , then which of the following statement (s) hold(s) good?

If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x. cosec^(-1) x , then which of the following statement (s) hold(s) good?

sin^-1(cos x)+tan ^-1(cot x)

sin^-1(cos x)+tan ^-1(cot x)

Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)x