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The maximum value of the function f(x)=s...

The maximum value of the function `f(x)=sin(x+pi/6)+cos(x+pi/6)` in the interval `(0,pi/2)` occurs at (a) `pi/(12)` (b) `pi/6` (c) `pi/4` (d) `pi/3`

A

`(pi)/(12)`

B

`(pi)/(6)`

C

`(pi)/(3)`

D

`(pi)/(2)`

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