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Maths Inverse Trigonometric Functions Inverse Trigonometric Functions, Inverse Trigo Identities Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

If (cot –1 x) 2 – 3 (cot –1 x) + 2 > 0, then x lies in

(cot 2, cot 1)

(– ∞ , cot 2) ∪ (cot 1, ∞ )

(cot 1, ∞ )

(– ∞ , cot 1) ∪ (cot 2, ∞ )

Text Solution

Verified by Experts

The correct answer is:

(cot –1 x – 1) (cot –1 x – 2) > 0 ⇒ x < cot 2 or x > cot 1

(cot –1 x is a decreasing function)

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