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Let S be the set of all points in (– π , π ) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?

1. ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π π π − π − 2 , 4 , 4 , 2
2. ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π π π − π − 4 3 , 2 , 2 , 4 3
3. ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π π − 4 , 0 , 4
4. ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π π π − π − 4 , 4 3 , 4 , 4 3

Correct answer: ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π π π − π − 4 , 4 3 , 4 , 4 3

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