The minimum value of the function f(x)=(...

The minimum value of the function `f(x)=(1)/(sinx+cosx)` in the interval `[0,(pi)/(2)]` is

A

`(sqrt(2))/(2)`

B

`-(sqrt(2))/(2)`

C

`(2)/(sqrt(3)+1)`

D

`-(2)/(sqrt(3)+1)`

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The correct Answer is:

A

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