Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The value of c in Lagrange’s theorem for the function
ƒ(x) = log sin x in the interval 
is -
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
We have, ƒ(x) = log sin x
⇒ ƒ ′ (x) = 
cos x = cot x
Clearly ƒ(x) is continuous and differentiable in 
Hence mean value theorem is applicable
∴ There exist a real number c in 
such that
ƒ ′ = 
⇒ cot c = 
⇒ cot c = 
= 0
⇒ c = 
∈ 
.
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