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Home » Thus, the area of the triangle is: - Richter Guitar

Thus, the area of the triangle is: - Richter Guitar

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 But is that correct? Let's analyze:

📌 As $x \to 0^+$, $\sec x \to 1$, $\csc x \to \infty$, so $(\sec x + \csc x)^2 \sim \csc^2 x \sim \frac{1}{x^2}$

📌 And $\sin x + \cos x \to 1$, so its square is constant, but the first term dominates.

📌 Thus, $(\sec x + \csc x)^2 \to \infty$, so the entire expression tends to infinity.

📌 But the problem asks for the **maximum** — if it diverges, there is no finite maximum.

📌 But likely we made a mistake in interpretation — perhaps the expression is bounded?

📌 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.

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