Simplify ^ - 1 1 x^2 - 1 for x < - 1: - Vidyadip

MCQ

Simplify $ {\cot ^{ - 1}}\frac{1}{{\sqrt {{\text{x}^2} - 1} }}$ for $\text{ x} < - 1$:

A
$ \cos ^{-1}\text{x}$
✓
$ \sec ^{-1}\text{x}$
C
$ \text{cosec} ^{-1}\text{x}$
D
$ \tan ^{-1}\text{x}$

✓

Answer

Correct option: B.

$ \sec ^{-1}\text{x}$

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