If α = sin –1 (cos (sin –1 x)) and β = cos –1 (sin (cos –1 …

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If α = sin –1 (cos (sin –1 x)) and β = cos –1 (sin (cos –1 x)), then-

tan α = cot β

tan α = – cot β

tan α = tan β

tan α = – tan β

Text Solution

Verified by Experts

The correct answer is:

sin α = cos (sin –1 x) = cos

= sin (cos –1 x)

∴ cos β = sin (cos –1 x)

⇒ sin α = cos β

⇒ tan α = cot β

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