If sin –1 (sin –1 1/5 + cos –1 x) = 1 then 5x equals

Maths Inverse Trigonometric Functions Inverse Trigonometric Functions, Inverse Trigo Identities Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

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The correct answer is:

(1)

 sin –1 + cos –1 x =

⇒ sin –1 = – cos –1 x

⇒ sin –1 = sin –1 x

⇒ 5x = 1

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