If cos –1 = 2tan –1 x then x =

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

Published by: CGP EDU Academic Team

Published on: August 14, 2026

x ∈ R

|x| ≤ 1

x ∈ (–1, 1]

x ∈ [1, ∞ )

Text Solution

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The correct answer is:

π > 2tan –1 x ≥ 0 > tan –1 x ≥ 0

also 1 + x 2 ≥ 1 – x 2 ⇒ x ≥ 0

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