If x ∈ ∈ [–1, 0) then cos –1 (2x 2 –1) –2 sin –1 x equals

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

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Text Solution

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The correct answer is:

∴ cos –1 (2x 2 –1) = 2 π – 2cos –1 x if x < 0

So, 2 π – 2cos –1 x – 2sin –1 x = π

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