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consider a function f defined by f(x) =s...

consider a function f defined by f(x) `=sin^(-1) sin ((x+sin x)/(2)) , AA x in [0,pi]` Which satisfies `f(x)+ f(2 pi-x) = pi , AA x in [pi, 2pi]" and " f(x) =f(4pi -x) " for all " x in [2pi, 4pi]` then
if `alpha` is the length of the largest interval on which f(x) is increasing , then `alpha=`

A

`(alpha)/(2)`

B

` alpha`

C

` (alpha)/(4)`

D

`2alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
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