Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If y = sin (sin x) and 
tan x + ƒ(x) = 0, then ƒ(x) equals
Text Solution
Verified by ExpertsThe correct answer is:
D
= cos (sin x) . cos x
∴ 
= – cos (sin x) sin x + cos x (– sin (sin x)) cos x
⇒ 
+ 
tan x = – cos (sin x) sin x – cos 2 x sin (sin x) + cos (sin x) sin x
= – cos 2 x sin (sin x)
⇒ 
+ 
tan x + cos 2 x sin (sin x) = 0
⇒ ƒ(x) = cos 2 x sin (sin x).
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