31 lines
835 B
Markdown
31 lines
835 B
Markdown
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## Tabela funkcji trygonometrycznych
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|rad|0|$\frac{\pi}{6}$|$\frac{\pi}{4}$|$\frac{\pi}{3}$|$\frac{\pi}{2}$|$\pi$|
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|:-|-|-|-|-|-|-|
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|deg|$0°$|$30°$|$45°$|$60°$|$90°$|$180°$|
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|$\sin{\alpha}$|$0$|$\frac{1}{2}$|$\frac{1}{2}$|$\frac{1}{2}$|$1$|$0$|
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|$\cos{\alpha}$|$1$|$\frac{\sqrt{3}}{2}$|$\frac{\sqrt{2}}{2}$|$\frac{1}{2}$|$0$|$-1$|
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|$\tan{\alpha}$|$0$|$\frac{\sqrt{3}}{3}$|1|$\sqrt{3}$|$-$|$0$|
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|$\cot{\alpha}$|$-$|$\sqrt{3}$|$1$|$\frac{\sqrt{3}}{3}$|$0$|$-$|
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## Wzór Moivre'a
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$$z^{n =}r^n(\cos(n\phi)+i \sin(n\phi)),\ gdzie \ n\in\mathbb{N}\ oraz\ z\ne0$$
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> [!NOTE] Zasadnicze Twierdzenie Algebry
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> Każdy wielomian stopnia n o współczynnikach zespolonych ma n pierwiastków zespolonych
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## Podstawowe pochodne
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$(n)'=0$
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$(x^{\alpha})'=\alpha\cdot x^{\alpha-1}$
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$()'=$
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$()'=$
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$()'=$
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$()'=$
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$()'=$
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$()'=$
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$()'=$
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$()'=$
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