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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 sin –1 x + cos –1 (1 – x) = λπ has a solution, then value of λ is -

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

sin –1 x + cos –1 (1 – x) = λπ

Eq n . exist if 0 ≤ x ≤ 1

For x = 0 L.H.S. = 0

⇒

For x = L.H.S. =

⇒

For x = 1 L.H.S. = π

⇒ λ = 1

Now sin –1 x + cos –1 (1 – x) ≤ π

So for λ = eq n . do not exist.

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