The correct answer is A. Let cos –1 4/5 = x ⇒ cos x = 4/5 …(i) Now sin ( ) = sin (x/2) …(ii) From (i) cos x = ⇒ 1–2 sin 2 x/2 = ⇒ sin x/2 =

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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

sin =

– 10

–

Text Solution

Verified by Experts

The correct answer is:

Let cos –1 4/5 = x ⇒ cos x = 4/5 …(i)

Now sin ( ) = sin (x/2) …(ii)

From (i) cos x =

⇒ 1–2 sin 2 x/2 =

⇒ sin x/2 =

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