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MathNet 2019-part-04 — 184 problems (EN–VI) Question 41

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 41

Determine the extreme values of the function $f:\left(0, \frac{\pi}{2}\right) \rightarrow \mathbb{R}$, $f(x)=\sin x+\cos x+\operatorname{tg} x+\operatorname{ctg} x$.