Question

The domain of ${\text{cosec}}^{-1}x$ is

• A. $R-[-1,1]$
• B. $R-(-1,1)$
• C. $[-1,1]$
• D. $R$

Answer 1

The correct option is B $R-(-1,1)$

The function $\text{cosec}x$ is defined from $R-n\pi$ to $R-(-1,1).$
Therefore, the domain of inverse of $\text{cosec}x\text{i.e.,}{\text{cosec}}^{-1}x$ is $R-(-1,1)$