Which of the following statements are correct?

(A) $\sin ^{-1}(-x)=-\sin ^{-1} x, x \in[-1,1]$
(B) $\tan ^{-1}(-x)=-\tan ^{-1} x,-1<x<1$
(C) $\cos ^{-1}(-x)=\pi-\cos ^{-1} x,-1 \leq x \leq+1$
(D) $\sec ^{-1}(-x)=\pi-\sec ^{-1} x,|x|>1$
(E) $\cot ^{-1}(-x)=\pi-\cot ^{-1} x, x \in R$

Choose the correct answer from the options given below:

(A) and (C) Only

The correct answer is Option (1) → (A) and (C) Only