cosec –1 (cosec x) and cosec (cosec –1 x) are equal functio…

Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

cosec –1 (cosec x) and cosec (cosec –1 x) are equal functions then maximum range of value of x is-

∪

(– ∞ , –1] ∪ [1, ∞ )

[–1, 0) ∪ [0, 1)

Text Solution

Verified by Experts

The correct answer is:

cosec (cosec –1 x) = x ∀ x ∈ R –(–1, 1)

also range of cosec –1 (cosec x) ∈ ∪

so combining these two.

x ∈ ∪

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