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Home » Résoudre le système d'équations : - Crosslake

Résoudre le système d'équations : - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Somit beträgt der Umfang des Sechsecks \(\boxed{36}\) cm.問題: \(\sin^...
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...
\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^4 x + \cos^4 x = 1 - 2 \left(\frac{1}{4} \sin^2 2x\right) = 1 - \...
\(\sin^2 2x\) の範囲は \([0, 1]\) です。したがって、\(\frac{1}{2} \sin...
- \frac{1}{2} \cdot 1 = \frac{1}{2}
したがって、\(\sin^4 x + \cos^4 x\) の最小値は \(\boxed{\frac{1}{2}}\)...

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