`f(x)=sin^(-1)(sin x), g(x)=cos^(-1)(cos x)`, then :

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 ?

f(x)=sqrt(|sin^(-1)|sin x||-cos^(-1)|cos x|) is

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

Which of the following functions are identical? f(x)=1nx^(2) and g(x)=2ln xf(x)=log_(x)e and g(x)=(1)/(log x)f(x)=sin(cos^(-1)x) and g(x)=cos(sin^(-1)x) none of these

Find the area bounded by the curves y=(sin^(-1)(sin x)+cos^(-1)(cos x)) and y=(sin^(-1)(sin x)+cos^(-1)(cos x))^(2) for 0<=x<=2 pi

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)(cosec(sin^(-1)x))+cos^(-1)(sec(cos^(-1)x)) , then f(x) takes

If f(x)= sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [*] denotes greatest integer function)