Let \( S \) be the set of all points in \( (-\pi, \pi) \) at which ...

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Let \( S \) be the set of all points in \( (-\pi, \pi) \) at which the function,
\( \mathrm{P} \) \( \mathrm{f}(\mathrm{x})=\min \{\sin x, \cos x\} \) is non-differentiable. Then \( S \) is a

W. subset of which of the following?
[JEE Main - 2019 (January)]
(a) \( \left\{-\frac{\pi}{4}, 0, \frac{\pi}{4}\right\} \)
(b) \( \left\{-\frac{3 \pi}{4},-\frac{\pi}{4}, \frac{3 \pi}{4}, \frac{\pi}{4}\right\} \)
(c) \( \left\{-\frac{\pi}{2},-\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}\right\} \)
(d) \( \left\{-\frac{3 \pi}{4},-\frac{\pi}{2}, \frac{\pi}{2}, \frac{3 \pi}{4}\right\} \)
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