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Home » A circle has a circumference of 31.4 cm. Find its radius. - Appcentric

A circle has a circumference of 31.4 cm. Find its radius. - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \times 6 = 36 \text{ cm}.

📌 Somit beträgt der Umfang des Sechsecks \(\boxed{36}\) cm.問題: \(\sin^4 x + \cos^4 x\) の最小値を求めよ。

📌 解: \(\sin^4 x + \cos^4 x\) の最小値を見つけるために、まずこの式をより簡単な形に表現することから始めます。次の恒等式を使用します:

📌 \sin^4 x + \cos^4 x = (\sin^2 x + \cos^2 x)^2 - 2\sin^2 x \cos^2 x

📌 \(\sin^2 x + \cos^2 x = 1\) なので、この式は次のように簡略化されます:

📌 \sin^4 x + \cos^4 x = 1 - 2\sin^2 x \cos^2 x

📌 \sin^2 x \cos^2 x = \left(\frac{1}{2} \sin 2x\right)^2 = \frac{1}{4} \sin^2 2x

📌 \sin^4 x + \cos^4 x = 1 - 2 \left(\frac{1}{4} \sin^2 2x\right) = 1 - \frac{1}{2} \sin^2 2x

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