The value of c in Lagrange's mean value ...

The value of c in Lagrange's mean value theorem for the function f(x) = log (sin x ) in the interval `[(pi)/(6), (5pi)/(6)]` is :

A

`(pi)/(4)`

B

`(pi )/(2)`

C

`(2pi)/(3)`

D

`(pi )/(3)`

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