Question

Domain of \(cosec^{-1} x\) is

(A) R  

(B) (−1, 1) 

(C) R− (−1, 1) 

(D) [−1, 1]

Answer 1

Correct option is (C) R − (−1, 1)

The function \(\text{cosec }x\) is defined from \(R -n\pi\) to \(R - (-1, 1)\).

Therefore, the domain of inverse of \(\text{cosec }x\) i.e., \(\text{cosec}^{-1}x\) is \(R - (-1, 1)\).

Answer 2

Correct option is (C) R − (−1, 1)