let S be the set of all points in (-pi,p...

let S be the set of all points in `(-pi,pi)` at which the function , f(x) =min {sinx , cos x} is not differentiable Then S is a subset of which of the following ?

A

`{-(pi)/(4),0,(pi)/(4)}`

B

`{-(3pi)/(4),-(pi)/(2),(pi)/(2),(3pi)/(4)}`

C

`{-(3pi)/(4),-(pi)/(4),(3pi)/(4),(pi)/(4)}`

D

`{-(pi)/(2),-(pi)/(4),(pi)/(4),(pi)/(2)}`

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The correct Answer is:

C

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