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Trigonometrie

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Kartei Details

Karten 14
Sprache Deutsch
Kategorie Mathematik
Stufe Grundschule
Erstellt / Aktualisiert 02.12.2014 / 13.01.2021
Lizenzierung Keine Angabe
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\(\sin(0^{\circ})=\sin(180^{\circ})=\sin(360^{\circ})\)

\(\sin(0)=\sin(\pi)=\sin(2\pi)=0\)

\(\sin(15^{\circ})=\sin(165^{\circ})\\=-\sin(195^{\circ})=-\sin(345^{\circ})\)

\(\sin({\pi\over12})=\sin({11\pi\over12})={\sqrt{6}-\sqrt{2}\over 4}\\ =-\sin({13\pi\over12})=-\sin({23\pi\over12})\)

\(\sin(30^{\circ})=\sin(150^{\circ})\\ =-\sin(210^{\circ})=-\sin(330^{\circ})\)

\(\sin({\pi\over6})=\sin({5\pi\over6})={1\over2}\\ =-\sin({7\pi\over6})=-\sin({11\pi\over6})\)

\(\sin(45^{\circ})=\sin(135^{\circ})\\ =-\sin(225^{\circ})=-\sin(315^{\circ})\)

\(\sin({\pi\over4})=\sin({3\pi\over4})={\sqrt{2}\over2}\\= -\sin({5\pi\over4})=-\sin({7\pi\over4})\)

\(\sin(60^{\circ})=\sin(120^{\circ})\\= -\sin(240^{\circ})=-\sin(300^{\circ})\)

\(\sin({\pi\over3})=\sin({2\pi\over3})={\sqrt{3}\over2}\\= -\sin({4\pi\over3})=-\sin({5\pi\over3})\)

\(\sin(75^{\circ})=\sin(105^{\circ})\\ =-\sin(255^{\circ})=-\sin(285^{\circ})\)

\(\sin({5\pi\over12})=\sin({7\pi\over12})={\sqrt{6}+\sqrt{2}\over4}\\= -\sin({17\pi\over12})=-\sin({19\pi\over12})\)

\(\sin(90^{\circ})=-\sin(270^{\circ})\)

\(\sin({\pi\over2})=\sin({3\pi\over2})=1\)

\(\cos(0^{\circ})=-\cos(180^{\circ})=\cos(360^{\circ})\)

\(\cos(0)=\cos(2\pi)=1 \\ =-\cos(\pi)\)