Question

Which of the following is an odd function in their domain ?

• A. $si{n}^{-1}\left(x\right)$
• B. $co{t}^{-1}\left(x\right)$
• C. $se{c}^{-1}\left(x\right)$
• D. $co{s}^{-1}\left(x\right)$

Answer 1

The correct option is A $si{n}^{-1}\left(x\right)$

We know that an odd function is symmetric about origin. Let’s look at the graph of these functions.




From these graphs we can clearly see that there is only one function which is $si{n}^{-1}\left(x\right)$ which is symmetric about origin. Thus this function is an odd function.