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Home » These Ugly Cartoon Characters Will Shock You—Why You Can’t Look Away! - Simpleprint

These Ugly Cartoon Characters Will Shock You—Why You Can’t Look Away! - Simpleprint

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 C = \pi \cdot d = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi \text{ cm}.

📌 Somit ist der Umfang \(\boxed{8\sqrt{2}\pi}\) Sekundenlängen.

📌 Frage: Berechne \(\tan 75^\circ\) und gib deine Antwort in einfachster Radikalform.

📌 Um \(\tan 75^\circ\) zu berechnen, verwenden wir die Additionstheorem für Tangens:

📌 \tan(75^\circ) = \tan(45^\circ + 30^\circ) = \frac{\tan 45^\circ + \tan 30^\circ}{1 - \tan 45^\circ \tan 30^\circ}.

📌 Wir wissen, dass \(\tan 45^\circ = 1\) und \(\tan 30^\circ = \frac{1}{\sqrt{3}}\). Einsetzen:

📌 \tan 75^\circ = \frac{1 + \frac{1}{\sqrt{3}}}{1 - 1 \cdot \frac{1}{\sqrt{3}}} = \frac{\frac{\sqrt{3} + 1}{\sqrt{3}}}{\frac{\sqrt{3} - 1}{\sqrt{3}}} = \frac{\sqrt{3} + 1}{\sqrt{3} - 1}.

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