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Home » #### \(\sqrt{\frac50\pi}\) - RoadRUNNER Motorcycle Touring & Travel Magazine

#### \(\sqrt{\frac50\pi}\) - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 Wait: no, because $\csc x = 1/\sin x$, and as $x \to 0$, $\sin x \to 0$, so $\csc x \to \infty$, and it's not bounded.

📌 But the problem says "find the maximum" — contradiction.

📌 Wait — perhaps the expression is **minimized**, not maximized? But the problem says "maximum".

📌 But re-reading: "determine the maximum value of the expression $(\sec x + \csc x)^2 + (\sin x + \cos x)^2$"

📌 But this expression is **unbounded** on $ (0, \frac{\pi

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