Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For x to be real, maximum value of y = 4 (sin x–x)
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
2
Ans. 2
Sol. Let x + 
= t .…….(i)
⇒ – cos 2 x = t (x – 
)
∴ x – 
……..(ii)
from (i) & (ii), we get 2x = t – 
∴ y = 
t= 2 {1– (t – sin x) 2 }
⇒ y ≤ 2
∴ Maximum value = 2
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