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

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)=int_(0)^(x)e^(t)*sin(x-t)dt and g(x)=f(x)+f'(x) Which of the following statements are correct?

Let f(x)=sqrt((cos^(-1)sqrt(1-x^(2))-sin^(-1)x)) then which of the following statement/s is are correct -

For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the following statements is/are true

Let f(x)=sin(sin^(-1)2x)+cos ec(cos ec^(-1)2x)+tan(tan^(-1)2x) ,then which one of the following statements is/are incorrect?

Let f : I - {-1,0,1} to [-pi, pi] be defined as f(x) = 2 tan^(-1) x - tan^(-1)((2x)/(1 -x^(2))) , then which of the following statements (s) is (are) correct ?

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

Let f(x)=(x-1)/(x^(2)) then which of the following is correct?