cos –1 =cos –1 –cos –1 x holds if

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

Published by: CGP EDU Academic Team

Published on: August 12, 2026

|x| ≤ 1

x ∈ R

0 ≤ x ≤ 1

– 1 ≤ x ≤ 0

Text Solution

Verified by Experts

The correct answer is:

RHS : cos –1 – cos –1 2

cos –1

considering cos –1 ≥ cos –1 x ⇒ ≤ x

True for all positive x also for cos –1 x – 1 ≤ x ≤ 1

Hence : 0 ≤ x ≤ 1

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