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 ?

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 ?

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 -

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(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following statement(s) is / are TRUE ?

Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following statement(s) is / are TRUE ?

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